5869_functions_f_x_notation

1.1   5840_Indices_(Exponents)_Introduction

1.2   5841_Indices_(Exponents)_Short_introductory_exercise

1.3   5842_Indices_(Exponents)_Multiplication_Rule

1.4   5843_Indices_(Exponents)_Multiplication_Rule_(Exercise)

1.5   5844_Indices_(Exponents)_Multiplication_Rule_Extended

1.6   5845_Indices_(Exponents)_Multiplication_Rule_Extended_(Exercise)

1.7   5846_Indices_(Exponents)_Division_Rule

1.8   5847_Indices_(Exponents)_Division_Rule_(Exercise)

1.9   5848_Indices_(Exponents)_Negative_types

1.10   5849_Indices_(Exponents)_Negative_types_(Exercise)

1.11   5850_Indices_(Exponents)_Fractions_to_Negative_Powers

1.12   5851_Indices_(Exponents)_Fractions_to_Negative_Powers_(Exercise)

1.13   5852_Indices_Fractional_Powers

1.14   5853_Indices_(Exponents)_Rational_Powers_(Exercise)

1.15   5854_Indices_Simplifying_Negative_Powers

1.16   5855_Indices_(exponents)_expressing_a_term_as_ax^n

1.17   5856_Indices_(Exponents)_Equation_Types

1.18   5857_All_you_need_to_know_about_Indices_(Summary)

1.19   5858_Simplifying_Surds

1.20   5859_Surds_Addition_and_Subtraction

1.21   5860_Surds_Multiplication

1.22   5861_Surds_Division

1.23   5862_Surds_Rationalising

1.24   5863_Surds_Past_Exam_Question_Edexcel_C1_Core_Maths_June_2014_Q6

1.25   5864_Surds_Past_Exam_Question_C1_Edexcel_June_2013_Q1

1.26   5865_Surds_Past_Exam_Question_C1_Edexcel_January_2013_Q3

1.27   5866_C1_OCR_January_2012_Q1

1.28   5867_Surds_C1_Edexcel_January_2011_Q3

1.29   5868_A_Level_Edexcel_Core_Maths_C1_June_2010_Q1

1.31   5870_What_is_meant_by_Factorising_What_is_a_Factor

1.32   5871_Factorising_Highest_Common_Factor_Types

1.33   5872_Factor_or_Factorise_by_Grouping

1.34   5873_Factorising_Quadratics_HCF_type_Tutorial_3

1.35   5874_Factorising_Difference_of_2_Squares_Tutorial_4

1.36   5875_Factorising_Quadratic_trinomial_Expressions

1.37   5876_Factorising_Quadratic_Trinomials_part_1_Tutorial_5

1.38   5877_Factorising_Quadratic_Trinomials_part_2_Tutorial_6

1.39   5878_Factorising_Quadratic_Trinomials_part_2_Tutorial_7

1.40   5879_Factorising_Quadratic_Trinomials_part_2_Tutorial_8

1.41   5880_Factorising_Quadratic_Trinomials_part_2_Tutorial_9

1.42   5881_Factorising_Quadratic_Trinomials_part_2_Tutorial_10

1.43   5882_Factorising_Extended_Quadratic_Trinomials_Tutorial_11

1.44   5883_Factorising_Revision_Exercise_Worked_Solutions_1_4

1.45   5884_Factorising_Revision_Exercise_Worked_Solutions_5_7

1.46   5885_Factorising_Revision_Exercise_Worked_Solutions_8_10

1.47   5886_Factorising_C1_Edexcel_January_2013_Q1

1.48   5887_Completing_The_Square_1_of_3

1.49   5888_Completing_The_Square_2_of_3

1.50   5889_Completing_The_Square_3_of_3

1.51   5890_Completing_the_Square_Applications_1_of_3

1.52   5891_Completing_the_Square_Applications_2_of_3_Sketching_Quadratic_Graphs_Part_1

1.53   5892_Completing_the_Square_Applications_3_of_3_Sketching_Quadratic_Graphs_Part_2

1.54   5893_Completing_the_Square_C1_Edexcel_January_2013_Q10

1.55   5894_Completing_the_Square_C1_OCR_June_2012_Q4

1.56   5895_Completing_the_Square_C1_OCR_January_2012_Q3

1.57   5896_How_to_Solve_a_Quadratic_Equation_by_Completing_the_Square

1.58   5897_How_to_solve_a_quadratic_equation_by_the_quadratic_formula

1.59   5898_How_to_derive_the_Quadratic_Formula

1.60   5899_Past_Paper_Question_C1_OCR_June_2012_Q7

1.61   5900_Quadratic_Equations_in_some_function_of_x

1.62   5901_Nature_of_Roots_for_a_Quadratic_Equation_Discriminant

1.63   5902_Examples_on_the_Nature_of_Roots_of_a_Quadratic_Equation

1.64   5903_Roots_and_Discriminant_C1_Edexcel_January_2013_Q9

1.65   5904_Roots_and_Discriminant_C1_Edexcel_January_2011_Q8

1.66   5905_Sketching_Quadratic_Graphs

1.67   5906_Simultaneous_Equations_Elimination_method_Tutorial_1

1.68   5907_Simultaneous_Equations_Elimination_method_Tutorial_2

1.69   5908_Simultaneous_Equations_Elimination_method_Tutorial_3

1.70   5909_Simultaneous_Equations_Elimination_method_Tutorial_4

1.71   5910_Simultaneous_Equations_Elimination_method_Tutorial_5

1.72   5911_Simultaneous_Equations_Elimination_method_Tutorial_6

1.73   5912_Simultaneous_Equations_Substitution_Method_Tutorial_1

1.74   5913_Simultaneous_Equations_Substitution_Method_Tutorial_2

1.75   5914_A_Level_Edexcel_Core_Maths_C1_June_2011_Q4

1.76   5915_A_Level_Edexcel_C1_January_2010_Q5

1.77   5916_C1_Edexcel_January_2013_Q6_c

1.78   5917_Inequalities_Introduction

1.79   5918_Inequalities_Reversing_the_inequality_sign

1.80   5919_Solving_Linear_Inequalities

1.81   5920_Inequalities_Solving_a_simultaneous_double_linear_inequality

1.82   5921_How_to_solve_a_Quadratic_Inequality

1.83   5922_Solving_a_linear_inequality_Edexcel_C1_June_2014_Q3a

1.84   5923_Quadratic_Inequalities_Past_Exam_Question_Edexcel_C1_June_2014_Q3b

1.85   5924_Solving_simultaneous_inequalities_Edexcel_C1_June_2014_Q3c

1.86   5925_Linear_Quadratic_inequalities_C1_Edexcel_June_2013_Q5

1.87   5926_C1_OCR_June_2012_Q9_i

1.88   5927_C1_OCR_June_2012_Q9_ii

1.89   5928_Quadratic_Inequalities_Past_Paper_Question_C1_OCR_January_2012_Q9_i_ii

1.90   5929_Simultaneous_Inequalities_Past_Paper_Question_Edexcel_Core_Maths_C1_June_2010_Q3

1.91   5930_A_Level_Maths_Edexcel_C1_June_2009_Q4a

1.92   5931_Quadratic_Inequalities_Past_Paper_Question_Edexcel_C1_June_2009_Q4b

1.93   5932_A_Level_Maths_Edexcel_C1_June_2009_Q4c

1.94   5933_Inequalities_Shading_regions_for_a_linear_inequality_in_two_variables

1.95   5934_Algebraic_Long_Division

1.96   5935_Algebraic_long_division_Handling_missing_terms

1.97   5936_The_Factor_Theorem

1.98   5937_How_to_show_that_x_1_is_a_factor_of_a_given_polynomial

1.99   5938_How_to_factorise_a_cubic_equation_Method_1

1.100   5939_How_to_factorise_a_cubic_polynomial_Method_2

1.101   5940_How_to_find_constants_in_a_polynomial_given_factors

1.102   5941_How_to_solve_a_cubic_equation_by_factorising

1.103   5942_Remainder_theorem_example

1.104   5943_Factor_Theorem_example

1.105   5944_Factor_Theorem_Past_Paper_Question_C2_Edexcel_June_2012_Q4

1.106   5945_Factor_theorem_C2_OCR_June_2012_Q8_i

1.107   5946_Factorising_a_cubic_expression_C2_OCR_June_2012_Q8_ii

1.108   5947_Edexcel_C3_June_2006_Q1

1.109   5948_Adding_and_Subtracting_Algebraic_Fractions_1

1.110   5949_Adding_and_Subtracting_Algebraic_Fractions_2

1.111   5950_Rational_Expressions_Addition_Subtraction_C3_Edexcel_June_2012_Q1

1.112   5951_Rational_Expressions_Addition_Subtraction_Edexcel_C3_January_2011_Q2a

1.113   5952_A_Level_Edexcel_Core_Maths_C3_January_2011_Q2b

1.114   5953_Rational_Expressions_Addition_Subtraction_Edexcel_C3_January_2010_Q1

1.115   5954_How_to_multiply_algebraic_fractions

1.116   5955_Simplifying_stacked_fractions

1.117   5956_How_to_divide_algebraic_fractions

1.118   5957_Good_Algebraic_Long_Division_Example_Core_Maths_C3_Edexcel_June_2013_Q1

2.1   5959_How_to_Sketch_Cubic_Graphs

2.2   5960_Sketching_Reciprocal_graphs_of_the_form_y=k_x

2.3   5961_The_Modulus_Function_x

2.4   5962_How_to_draw_y=_f_x_graphs

2.5   5963_Mod_Equations_How_to_solve_x_1_=_2x_5

2.6   5964_Mod_Equations_How_to_solve_x_2_=_3

2.7   5965_Mod_Equations_How_to_solve_3x_9_=_2x_1

2.8   5966_Modulus_Functions_C3_OCR_January_2013_Q3_a

2.9   5967_Modulus_Inequalities_C3_OCR_January_2013_Q3_b

2.10   5968_Modulus_Inequalities_1

2.11   5969_Modulus_Inequalities_2

2.12   5970_Modulus_Inequalities_3

2.13   5971_Solving_Modulus_Inequalities_C3_OCR_June_2012_Q1

2.14   5972_Domain_and_Range_of_a_Function_1_of_2

2.15   5973_Domain_and_Range_of_a_Function_2_of_2

2.16   5974_Edexcel_C3_Core_Maths_June_2014_Q5_b

2.17   5975_Edexcel_C3_Core_Maths_June_2014_Q5_c_method_1

2.18   5976_Edexcel_C3_Core_Maths_June_2014_Q5_c_method_2

2.19   5977_Range_of_a_function_example

2.20   5978_Inverse_function_example

2.21   5979_Combining_functions_Introduction

2.22   5980_Combining_functions_Example_1

2.23   5981_Combining_functions_Example_2

2.24   5982_Edexcel_A_Level_Pure_Maths_2_Specimen_Paper_2_Q4_a_Composite_functions

2.25   5983_Inverse_functions_Introduction

2.26   5984_Inverse_functions_Example_1

2.27   5985_Inverse_functions_Example_2

2.28   5986_Inverse_functions_Example_3

2.29   5987_Inverse_functions_Graphical_relationship

2.30   5988_Functions_Example_1

2.31   5989_Functions_Example_2

2.32   5990_Functions_Inverse_and_Combining_P1_Pure_maths_CIE_Nov_2013_Q5

2.33   5991_Range_and_Composite_Functions_Core_Maths_C3_Edexcel_June_2013_Q7_a_b

2.34   5992_Inverse_of_a_Function_Core_Maths_C3_Edexcel_June_2013_Q7_c

2.35   5993_Unusual_functions_equation_Core_Maths_C3_Edexcel_June_2013_Q7_d

2.36   5994_Applying_Completing_the_Square_to_Quadratic_Graphs_P1_CIE_June_2013_Q8_i_iii

2.37   5995_Inverse_functions_Quadratic_type_P1_CIE_June_2013_Q8_iv

2.38   5996_Inverse_functions_Edexcel_Core_Maths_C3_January_2012_Q7b

2.39   5997_domain_Edexcel_Core_Maths_C3_January_2012_Q7c

2.40   5998_combining_functions_Edexcel_Core_Maths_C3_January_2012_Q7d

2.41   5999_A_Level_Edexcel_Core_Maths_C3_June_2011_Q4a

2.42   6000_Rational_Expressions_Addition_Subtraction_Edexcel_C3_Core_Maths_June_2014_Q5_a

2.43   6001_Rational_Expressions_Addition_Subtraction_Edexcel_C3_January_2012_Q7a

2.44   6002_A_Level_Edexcel_Core_Maths_C3_June_2011_Q4b

2.45   6003_A_Level_Edexcel_Core_Maths_C3_June_2011_Q4c

2.46   6004_A_Level_Edexcel_Core_Maths_C3_June_2011_Q4d

2.47   6005_More_Graphs_of_common_functions

2.48   6006_Transformations_of_Graphs_translations

2.49   6007_Translations_f_x_a_type_Why_they_work_in_the_way_they_do

2.50   6008_Translations_f_x_a_type_Why_they_work_in_the_way_they_do

2.51   6009_Transformations_of_Graphs_Reflections_y_=_f_x_f_x

2.52   6010_Transformations_of_Graphs_Reflections_y=_f_x_y=f_x_Proof

2.53   6011_Transformations_of_Graphs_stretches

2.54   6012_Transformations_of_Graphs_stretches_1_Proof

2.55   6013_Transformations_of_Graphs_stretches_2_Proof

2.56   6014_Transformations_of_Graphs_C1_Edexcel_June_2013_Q8

2.57   6015_C1_OCR_June_2012_Q5

2.58   6016_C1_OCR_January_2012_Q2

2.59   6017_A_Level_Edexcel_Core_Maths_C1_June_2011_Q8

2.60   6018_Asymptotes_What_are_they

2.61   6019_Partial_Fractions_What_are_they

2.62   6020_Partial_Fractions_Summary_examples

2.63   6021_Partial_Fractions_Calculating_Constants_2_linear_factors

2.64   6022_Partial_Fractions_Calculating_Constants_2_linear_factors_summary_example

2.65   6023_Partial_Fractions_Calculating_Constants_3_linear_factors

2.66   6024_Partial_Fractions_Calculating_Constants_3_linear_factors_summary_example

2.67   6025_Partial_Fractions_Repeated_Linear_Factors

2.68   6026_Partial_fractions_Repeated_linear_factors_summary_example

2.69   6027_Partial_Fractions_example_to_try

2.70   6028_Partial_Fractions_C4_Edexcel_January_2013_Q3

2.71   6029_Edexcel_Core_Maths_C4_June_2009_Q3a

2.72   6030_A_Level_Edexcel_C4_January_2009_Q3_a

3.1   6032_Coordinate_Geometry_Gradient_of_a_straight_line

3.2   6033_Parallel_lines_Gradient

3.3   6034_Perpendicular_lines

3.4   6035_How_to_find_the_Equation_of_a_straight_line_y=mx_c

3.5   6036_Common_questions_on_using_y=mx_c

3.6   6037_Finding_the_equation_of_a_line_given_the_graph

3.7   6038_Equation_of_a_line_alternative_form

3.8   6039_Equation_of_a_line_Comparing_methods

3.9   6040_Coordinate_Geometry_Distance_between_two_points

3.10   6041_Coordinate_Geometry_Mid_point_of_a_line_segment

3.11   6042_Coordinate_Geometry_Equation_of_a_parallel_line

3.12   6043_Coordinate_Geometry_Equation_of_a_perpendicular_bisector

3.13   6044_Coordinate_geometry_Intersection_of_2_straight_lines

3.14   6045_Coordinate_Geometry_Intersection_of_a_line_and_parabola

3.15   6046_Coordinate_Geometry_intersection_line_and_hyperbola

3.16   6047_Coordinate_Geometry_Intersection_of_two_curves_Introduction

3.17   6048_Coordinate_Geometry_Tangent_to_a_parabola

3.18   6049_Edexcel_C1_Core_Maths_June_2014_Q9_a

3.19   6050_Edexcel_C1_Core_Maths_June_2014_Q9_b

3.20   6051_Equation_of_a_Perpendicular_Bisector_P1_Pure_maths_CIE_Nov_2013_Q7_i

3.21   6052_P1_Pure_maths_Cambridge_International_Examinations_Nov_2013_Q7_ii

3.22   6053_Coordinate_Geometry_C1_Edexcel_June_2013_Q6

3.23   6054_Intersection_of_curves_Mid_points_P1_CIE_June_2013_Q7_i

3.24   6055_Tangents_to_a_curve_P1_CIE_June_2013_Q7_ii

3.25   6056_Coordinate_Geometry_C1_Edexcel_January_2013_Q5

3.26   6057_Cartesian_Equation_of_a_Circle

3.27   6058_Equation_of_a_Circle_Alternative_form

3.28   6059_Circle_Properties_You_Should_Know

3.29   6060_Equation_of_a_Tangent_to_a_Circle

3.30   6061_Equation_of_a_Circle_passing_through_3_points

3.31   6062_Q3a_Edexcel_Pure_Maths_1_Specimen

3.32   6063_Q3b_Edexcel_Pure_Maths_1_Specimen

3.33   6064_Coordinate_Geometry_Circle_C2_Edexcel_January_2013_Q5

3.34   6065_Equation_of_a_Circle_C2_Edexcel_June_2012_Q3_a_b

3.35   6066_C2_Edexcel_June_2012_Q3_c

3.36   6067_C1_OCR_June_2012_Q10_i_iii

3.37   6068_C1_OCR_June_2012_Q10_iv

3.38   6069_Circle_Coordinate_Geometry_C2_Edexcel_January_2012_Q2

3.39   6070_Parametric_Equations_Introduction

3.40   6071_Parametric_Equations_Converting_to_Cartesian_form_1

3.41   6072_Parametric_Equations_Converting_to_Cartesian_form_2

3.42   6073_Q5_Edexcel_Pure_Maths_1_Specimen

3.43   6074_Parametric_Equations_Curve_Sketching_1

3.44   6075_Parametric_Equations_Curve_Sketching_2

3.45   6076_Parametric_Equations_for_a_Circle_Example

3.46   6077_Parametric_Equations_Parabola_Example

3.47   6078_Finding_points_of_Intersection_between_Parametric_and_Cartesian_Equations

3.48   6079_Edexcel_C4_Core_Maths_June_2014_Q5_a

3.49   6080_Edexcel_C4_Core_Maths_June_2014_Q5_b

3.50   6081_Parametric_Equations_C4_Edexcel_January_2013_Q5_a_b

3.51   6082_Normal_to_Parametric_Curve_C4_Edexcel_January_2013_Q5_c

4.1   6084_Simple_way_to_learn_the_trig._ratios_for_30_60_and_45_degrees

4.2   6085_Simple_way_to_work_out_trig_ratios_of_multiples_of_30_45_and_60_degrees

4.3   6086_Trigonometric_Graphs

4.4   6087_Trigonometry_Transformations_of_Trig_Graphs_Translation_parallel_to_the_x_axis

4.5   6088_Trigonometry_Transformations_of_Trig_Graphs_Translation_parallel_to_the_y_axis

4.6   6089_Trigonometry_Transformations_of_Trig_Graphs_Reflection_in_the_x_axis

4.7   6090_Trigonometry_Transformations_of_Trig_Graphs_Reflection_in_the_y_axis

4.8   6091_Trigonometry_Transformations_of_Trig_Graphs_Stretch_parallel_to_the_y_axis

4.9   6092_Transformations_of_Trig_Graphs_Stretch_parallel_to_the_x_axis

4.10   6093_Trigonometry_Combining_Transformations_of_Trig_Graphs_y=f_ax_b_types

4.11   6094_Trig._Equation_C2_Edexcel_January_2012_Q9_i

4.12   6095_Transformation_Trig._Graph_C2_Edexcel_January_2012_Q9_ii

4.13   6096_Area_of_a_triangle_given_two_sides_and_an_included_angle

4.14   6097_Proof_of_Area_of_a_triangle_=_1_2absinC

4.15   6098_Sine_rule_Finding_a_Length

4.16   6099_Sine_rule_Finding_an_Angle

4.17   6100_Sine_Rule_The_Ambiguous_Case

4.18   6101_Sine_and_Cosine_Rules_C2_OCR_January_2013_Q1

4.19   6102_Finding_exact_trig_ratios_C2_OCR_June_2012_Q7_a

4.20   6103_Sine_Rule_C2_OCR_June_2012_Q7_b

4.21   6104_Cosine_rule_Finding_a_Length

4.22   6105_Cosine_rule_Finding_an_Angle

4.23   6106_Radians_What_are_they

4.24   6107_Arc_length_and_Area_of_Sectors_degrees

4.25   6108_Arc_Length_and_Area_of_Sectors_radians

4.26   6109_Area_of_segments_degrees

4.27   6110_Area_of_segments_radians

4.28   6111_Arc_length_Areas_of_Sectors_P1_Pure_maths_CIE_Nov_2013_Q6

4.29   6112_Radians_C2_Edexcel_January_2013_Q7_a_b

4.30   6113_Area_of_Sector_C2_Edexcel_January_2013_Q7_c

4.31   6114_Arc_length_C2_Edexcel_January_2013_Q7_d

4.32   6115_Sectors_Area_and_Arc_Length_CIE_Pl_June_2013_Q3

4.33   6116_How_to_solve_trigonometric_equations_using_the_Quadrant_Rule

4.34   6117_How_to_solve_trigonometric_equations_using_the_Quadrant_Rule

4.35   6118_How_to_solve_trigonometric_equations_using_the_Quadrant_Rule

4.36   6119_How_to_solve_trigonometric_equations_using_the_Quadrant_Rule

4.37   6120_Trig._Equations_Factorising_Types_f_x_=0_Example_1

4.38   6121_Trig._Equations_Factorising_Types_f_x_=0_Example_2

4.39   6122_Trig._Equations_Factorising_Types_f_x_=0_Example_3

4.40   6123_Two_Trigonometric_Identities_You_Should_Know

4.41   6124_Proving_Trigonometric_Identities

4.42   6125_Proving_Trigonometric_Identities

4.43   6126_Proving_Trigonometric_Identities

4.44   6127_Trigonometric_Identities_for_sin_and_cos_of_Negative_Angles

4.45   6128_Trigonometry_Solving_Equations_using_identities_Example_1

4.46   6129_Trigonometry_Solving_Equations_using_identities_Example_2

4.47   6130_Trigonometric_Equations_Using_Pythagorean_Identities

4.48   6131_Trigonometric_Equation_P1_Pure_maths_CIE_Nov_2013_Q4

4.49   6132_Solving_a_Trig._Equation_example

4.50   6133_Solving_a_Trig._Equation_example

4.51   6134_Solving_Trig._Equations_C2_Edexcel_January_2013_Q4

4.52   6135_Trig._equation_C2_OCR_January_2013_Q5

4.53   6136_Manipulating_a_Trig_Equation_C2_Edexcel_June_2012_Q6_a

4.54   6137_Solving_a_Trig_Equation_C2_Edexcel_June_2012_Q6_b

4.55   6138_Trigonometry_sec_cosec_and_cot

4.56   6139_Trigonometry_Graphs_of_sec_cosec_and_cot

4.57   6140_Inverse_Trig._Functions_arcsin_x

4.58   6141_Inverse_Trig._Functions_arccos_x

4.59   6142_Inverse_Trig._Functions_arctan_x

4.60   6143_Inverse_Trig._Functions_examples_1

4.61   6144_Inverse_Trig._Functions_examples_2

4.62   6145_Inverse_Trig._Functions_examples_3

4.63   6146_Trigonometric_Identities_Pythagorean_types

4.64   6147_Trigonometric_Identities_to_Prove

4.65   6148_Trigonometric_Identities_to_Prove

4.66   6149_Trigonometric_Identities_to_Prove

4.67   6150_Trigonometric_Identities_to_Prove

4.68   6151_Trigonometric_Identities_to_Prove

4.69   6152_Trigonometric_Identities_to_Prove

4.70   6153_Trigonometric_Identities_to_Prove

4.71   6154_Trigonometric_Identities_to_Prove

4.72   6155_Trigonometric_Equations_Using_Pythagorean_Identities

4.73   6156_Trigonometric_Equations_Using_Pythagorean_Identities

4.74   6157_Small_angle_approximations_for_sin_x_cos_x_and_tan_x

4.75   6158_Applying_small_angle_approximations_for_sin_x_cos_x_and_tan_x

4.76   6159_Trigonometric_Sum_and_Difference_Identities_Addition_Formulae

4.77   6160_Trigonometry_Finding_exact_trig_ratios_using_addition_formula

4.78   6161_Trigonometry_Exact_values_of_sin_A_B_etc

4.79   6162_Trigonometric_Identities_to_Prove_sum_and_difference_types

4.80   6163_Trigonometric_Identities_to_Prove_sum_and_difference_types

4.81   6164_Trigonometric_Equations_that_use_the_sum_and_difference_formulae

4.82   6165_Trigonometric_Double_Angle_Identities

4.83   6166_Trigonometric_Identities_to_Prove_Double_Angles_1

4.84   6167_Trigonometric_Identities_to_Prove_Double_Angles_2

4.85   6168_Trigonometric_Identities_to_Prove_Double_Angles_3

4.86   6169_Trigonometric_Equations_Double_Angle_Types_1

4.87   6170_Trigonometric_Equations_Double_Angle_Types_2

4.88   6171_Trigonometric_Equations_Double_Angle_Types_3

4.89   6172_Q9a_Edexcel_Pure_Maths_1_Specimen

4.90   6173_Q9b_Edexcel_Pure_Maths_1_Specimen

4.91   6174_Trigonometry_Identities_half_angles_1

4.92   6175_Trigonometry_Identities_half_angles_2

4.93   6176_Trigonometry_cos_3_in_terms_of_cos

4.94   6177_Trigonometry_sin_3_in_terms_of_sin

4.95   6178_The_identity_Asin_x_Bcos_x_=_Rsin_x_a

4.96   6179_The_identity_Asin_x_Bcos_x_=_Rsin_x_a

4.97   6180_The_identity_Acos_x_Bsin_x_=_Rcos_x_a

4.98   6181_The_identity_Acos_x_Bsin_x_=_Rcos_x_a

4.99   6182_Trigonometry_Equations_A_sin_x_B_cos_x_=_C_Type

4.100   6183_Trigonometry_Equations_A_cos_x_B_sin_x_=_C_Type

4.101   6184_Trig._Identities_Harmonic_Form_Max_and_Min_Values_Part_1

4.102   6185_Trig._Identities_Harmonic_Form_Max_and_Min_Values_Part_2

4.103   6186_Edexcel_C3_Core_Maths_June_2014_Q9_a

4.104   6187_Edexcel_C3_Core_Maths_June_2014_Q9_b

4.105   6188_Edexcel_C3_Core_Maths_June_2014_Q9_c

4.106   6189_Be_careful_on_this_Rcos_x_a_example_Core_Maths_C3_Edexcel_June_2013_Q8_a

4.107   6190_Minimum_value_using_Rcos_x_a_Core_Maths_C3_Edexcel_June_2013_Q8_b

4.108   6191_Core_Maths_C3_Edexcel_June_2013_Q8_c

4.109   6192_Solving_a_trigonometric_equation_Core_Maths_C3_Edexcel_June_2013_Q8_d

4.110   6193_R_cos_theta_alpha_example

4.111   6194_Trig._Equation_example

4.112   6195_Max_min_values_of_a_trigonometric_expression_example

4.113   6196_Rcos_x_alpha_method_C3_Edexcel_January_2013_Q4

4.114   6197_The_harmonic_form_Asin_x_Bcos_x_C3_OCR_June_2012_Q8_i_ii_a

4.115   6198_Applying_the_harmonic_form_Asin_x_Bcos_x_C3_OCR_June_2012_Q8_ii_b

4.116   6199_Edexcel_C3_Core_Maths_June_2014_Q7_a

4.117   6200_Edexcel_C3_Core_Maths_June_2014_Q7_b

4.118   6201_Working_with_trig_identities_C3_Edexcel_January_2013_Q6_i

4.119   6202_Solving_Trig._Equations_C3_Edexcel_January_2013_Q6_ii

4.120   6203_Tricky_Trigonometric_Equation_Core_Maths_C3_Edexcel_June_2013_Q3_a

4.121   6204_Solving_a_trigonometric_equation_Core_Maths_C3_Edexcel_June_2013_Q3_b

4.122   6205_Trig._equations_Edexcel_Core_Maths_C3_January_2012_Q5

4.123   6206_Summary_of_Trigonometric_Identities_and_Methods

5.1   6207_Exponential_Functions_Introduction

5.2   6208_What_is_a_Logarithm

5.3   6209_Rules_for_Logarithms_you_need_to_know

5.4   6210_Proofs_of_Logarithm_rules

5.5   6211_Logs_Change_of_base_identity_Proof

5.6   6212_Logarithms_Change_of_base_examples

5.7   6213_Logarithms_Simplifying_and_Expanding

5.8   6214_Logs_How_to_solve_equations_where_x_is_in_the_power

5.9   6215_Logs_How_to_Solve_Equations_that_contain_log_terms

5.10   6216_Logs_Using_the_change_of_base_identity_in_equations

5.11   6217_Logs_Solving_quadratic_equations_in_a_x

5.12   6218_Logarithms_Simultaneous_Equations_1

5.13   6219_Logarithms_Simultaneous_Equations_2

5.14   6220_Logarithms_Simultaneous_Equations_3

5.15   6221_Logs_Solving_inequalities

5.16   6222_Log_Equation_C2_Edexcel_January_2013_Q6

5.17   6223_Working_with_log_functions_C2_OCR_January_2013_Q8

5.18   6224_Log_Equation_C2_Edexcel_June_2012_Q2

5.19   6225_Logarithms_C2_Edexcel_January_2012_Q4

5.20   6226_Exponential_Functions

5.21   6227_Sketching_exponential_graphs_1

5.22   6228_Sketching_exponential_graphs_2

5.23   6229_Sketching_exponential_graphs_3

5.24   6230_Natural_Log_lnx_properties_and_graph

5.25   6231_Edexcel_C3_Core_Maths_June_2014_Q2_a

5.26   6232_Edexcel_C3_Core_Maths_June_2014_Q2_b

5.27   6233_Curve_sketching_involving_transformations_Core_Maths_C3_Edexcel_June_2013_Q2

5.28   6234_Solving_a_natural_log_equation_Core_Maths_C3_Edexcel_June_2013_Q6_a

5.29   6235_Solving_an_Exponential_equation_Core_Maths_C3_Edexcel_June_2013_Q6_b

5.30   6236_Working_with_Logarithms_C3_OCR_June_2012_Q2

5.31   6237_Modelling_Curves_using_logarithms

5.32   6238_Modelling_Curves_y=ab_x_Converting_to_Linear_Form_Example

5.33   6239_Modelling_Curves_y=ax_b_Converting_to_Linear_Form_Example

6.1   6241_The_Binomial_Expansion

6.2   6242_Binomial_Expansion_example

6.3   6243_Coefficient_in_a_Binomial_Expansion_example

6.4   6244_Binomial_Expansion_C2_Edexcel_January_2013_Q1

6.5   6245_Binomial_Expansion_C2_Edexcel_June_2012_Q1

6.6   6246_Binomial_Expansion_and_Coefficients_P1_CIE_Nov_2013_Q1

6.7   6247_Binomial_expansion_P1_CIE_June_2013_Q2

6.8   6248_Combinations_and_the_Binomial_Series_Expansion_C2_Edexcel_January_2011_Q5

6.9   6249_Binomial_Expansion_C2_Edexcel_January_2012_Q3

6.10   6250_Binomial_expansion_C2_OCR_January_2013_Q4

6.11   6251_Binomial_Expansion_C2_OCR_June_2012_Q1

6.12   6252_Binomial_Expansion_Rational_Powers

6.13   6253_Binomial_Expansion_for_non_integer_powers_Core_Maths_C4_Edexcel_June_2013_Q2_a

6.14   6254_Root_3_using_the_Binomial_Expansion_Core_Maths_C4_Edexcel_June_2013_Q2_b

6.15   6255_Binomial_Expansion_example_to_try

6.16   6256_Binomial_Exp_n_Approximating_a_value_example_to_try

6.17   6257_Validity_in_a_Binomial_Expansion_example

6.18   6258_Binomial_Expansion_C4_Edexcel_January_2013_Q1

6.19   6259_Binomial_Exapansion_Edexcel_Core_Maths_C4_June_2012_Q3_a

6.20   6260_Binomial_Exapansion_Edexcel_Core_Maths_C4_June_2012_Q3_b_c

6.21   6261_Binomial_Expansion_partial_fractions_type

6.22   6262_Partial_Fractions_Edexcel_Core_Maths_C4_June_2010_Q5_a

6.23   6263_Binomial_Expansion_Edexcel_Core_Maths_C4_June_2010_Q5_b

6.24   6264_A_Level_Edexcel_C4_January_2009_Q3_b

6.25   6265_A_Level_Edexcel_C4_January_2009_Q3_c

6.26   6266_Sequences_definition_and_nth_term

6.27   6267_Sequences_Recurrence_relationships

6.28   6268_Increasing_and_decreasing_sequences_Proof

6.29   6269_Edexcel_C1_Core_Maths_June_2014_Q5

6.30   6270_Sequences_Sigma_Notation_C1_Edexcel_June_2013_Q4

6.31   6271_Sequences_C1_Edexcel_January_2013_Q4

6.32   6272_Series_Sigma_Notation

6.33   6273_A_Level_Edexcel_Core_Maths_C1_June_2011_Q5a_b

6.34   6274_A_Level_Edexcel_Core_Maths_C1_June_2011_Q5c

6.35   6275_Arithmetic_Progressions_What_are_they

6.36   6276_How_to_Prove_the_Sum_of_an_Arithmetic_Progression

6.37   6277_Arithmetic_Progressions_Finding_a_and_d_given_two_terms

6.38   6278_Arithmetic_Progression_Working_with_consecutive_terms

6.39   6279_Edexcel_C1_Core_Maths_June_2014_Q8a

6.40   6280_Edexcel_C1_Core_Maths_June_2014_Q8b

6.41   6281_Edexcel_C1_Core_Maths_June_2014_Q8c

6.42   6282_Arithmetic_Progression_P1_Pure_maths_Cambridge_International_Exams_CIE_Nov_2013_Q9_a

6.43   6283_Arithmetic_Progression_example

6.44   6284_Arithmetic_Progressions_C1_Edexcel_June_2013_Q7

6.45   6285_Arithmetic_Series_Beastie

6.46   6286_Geometric_sequence_and_Series

6.47   6287_Geometric_Series_Sequence_Example_1

6.48   6288_Geometric_Series_Sequence_Example_2

6.49   6289_Geometric_Series_modelling_How_to_handle_Investment_style_problems

6.50   6290_Geometric_Series_Proof_of_the_Sum_of_n_terms

6.51   6291_Geometric_Series_Sum_to_Infinity

6.52   6292_Geometric_Series_Sum_to_infinity_example

6.53   6293_Geometric_series_Exam_Style_Question

6.54   6294_Geometric_Progression_P1_Pure_maths_Cambridge_International_Exams_CIE_Nov_2013_Q9_b

6.55   6295_Geometric_Progression_P1_CIE_June_2013_Q4

6.56   6296_Geometric_Sequences_C2_Edexcel_January_2013_Q3_a_b

6.57   6297_Geometric_Series_C2_Edexcel_January_2013_Q3_c

6.58   6298_Geometric_Series_C2_Edexcel_June_2012_Q9_b_c_d

7.1   6299_Proof_Proving_Identities_and_proofs_in_general

7.2   6300_Proof_by_Exhaustion_and_Deduction

7.3   6301_Example_to_Try_on_Proof_by_Exhaustion_and_Deduction

7.4   6302_Proof_by_using_a_Counter_Example

8.1   6303_Binomial_Expansion_nCr_What_is_it

8.2   6304_Binomial_Expansion_using_nCr_Method

8.3   6305_Binomial_Expansion_Finding_a_term_or_coefficient

8.4   6306_Binomial_Expansion_using_Pascal_s_Triangle

8.5   6307_Binomial_Expansion_An_alternative_formula

8.6   6308_Binomial_Expansion_Validity_for_Rational_Powers

9.1   6309_What_is_a_Vector_See_the_short_animation

9.2   6310_Vector_notation_2D_version_unit_base_vectors

9.3   6311_Vector_notation_2D_and_3D_version_unit_base_vectors

9.4   6312_What_are_Position_vectors_2D_version

9.5   6313_What_are_Position_vectors_2D_3D_version

9.6   6314_Vectors_equal_and_negative_vectors

9.7   6315_Multiplying_a_vector_by_a_scalar_2D_version

9.8   6316_Multiplying_a_vector_by_a_scalar_3D_version

9.9   6317_Vector_Addition_and_Subtraction_2D_version

9.10   6318_Vectors_Addition_and_Subtraction_2D_3D_version

9.11   6319_Vectors_Example_1

9.12   6320_Vectors_Example_2

9.13   6321_Vectors_Magnitude_2D_version

9.14   6322_Vectors_distance_between_two_points_2D_version

9.15   6323_Vectors_Magnitude_of_a_vector_3D

9.16   6324_Unit_Vectors_for_2D_and_3D_vectors

10.1   6325_Graphical_method_of_finding_roots

10.2   6326_Change_of_Sign_Method_to_Locate_a_Root_in_an_interval

10.3   6327_Iteration_Solving_equations_1_of_2

10.4   6328_Iteration_See_how_it_works_2_of_2

10.5   6329_Edexcel_C3_Core_Maths_June_2014_Q6_a

10.6   6330_Edexcel_C3_Core_Maths_June_2014_Q6_b

10.7   6331_Edexcel_C3_Core_Maths_June_2014_Q6_c

10.8   6332_Turning_Points_Core_Maths_C3_Edexcel_June_2013_Q4_a

10.9   6333_Core_Maths_C3_Edexcel_June_2013_Q4_b

10.10   6334_Using_an_Iteration_Formula_Core_Maths_C3_Edexcel_June_2013_Q4_c

10.11   6335_Core_Maths_C3_Edexcel_June_2013_Q4_d

10.12   6336_Iteration_C3_Edexcel_January_2013_Q2

10.13   6337_Roots_and_Iterative_Methods_C3_OCR_January_2013_Q6

10.14   6338_How_to_use_the_Newton_Raphson_method

10.15   6339_Roots_Bisection_Method_FP1_Edexcel_January_2012_Q2_a_b

10.16   6340_Newton_Raphson_FP1_Edexcel_January_2012_Q2_c

10.17   6341_Newton_Raphson_FP1_Edexcel_January_2013_Q3

10.18   6342_Edexcel_FP1_Further_maths_June_2014_Q2

10.19   6343_Trapezium_Rule

10.20   6344_Trapezium_rule_Type_of_estimate_too_big_or_too_small

10.21   6345_Edexcel_C4_Core_Maths_June_2014_Q3_a_b_c

10.22   6346_Trapezium_Rule_Core_Maths_C4_Edexcel_June_2013_Q3_a_b

10.23   6347_Trapezium_Rule_C4_Edexcel_January_2013_Q4_a_b

10.24   6348_Trapezium_Rule_Edexcel_Core_Maths_C4_June_2012_Q7_a

10.25   6349_Edexcel_Core_Maths_C4_June_2012_Q7_c

11.1   6350_Calculus_What_is_dy_dx_Differentiation_and_overview

11.2   6351_Differentiation_gradient_function_dy_dx_Calculus_by

11.3   6352_Differentiation_of_terms_of_the_form_ax_n_Calculus_by

11.4   6353_Differentiation_ax_n_terms_containing_Fractional_and_Negative_powers_Calculus_by

11.5   6354_Differentiation_3

11.6   6355_Differentiation_from_1st_Principles_Calculus_by

11.7   6356_Differentiation_What_is_2nd_Order_differentiation

11.8   6357_Edexcel_C1_Core_Maths_June_2014_Q7a

11.9   6358_Edexcel_C1_Core_Maths_June_2014_Q7b

11.10   6359_Find_f_x_example_OCR_C1_June_2013_Q3_i

11.11   6360_Find_f_x_example_OCR_C1_June_2013_Q3_ii

11.12   6361_C1_OCR_January_2012_Q6

11.13   6362_Differentiation_Revision_Example

11.14   6363_How_to_find_Equations_of_Tangents_and_Normals

11.15   6364_Example_to_try_on_Equations_of_Tangents_and_Normals

11.16   6365_Integration_Finding_an_Equation_of_a_Curve_Past_Paper_Question

11.17   6366_Edexcel_C1_Core_Maths_June_2014_Q10_b

11.18   6367_Tangents_P1_Pure_maths_Cambridge_International_Exams_CIE_Nov_2013_Q10_i

11.19   6368_Tangents_C1_Edexcel_January_2013_Q11_a_b

11.20   6369_Tangents_C1_Edexcel_January_2013_Q11_c

11.21   6370_C1_OCR_June_2012_Q6

11.22   6371_Differentiation_Stationary_Points_What_are_they

11.23   6372_Differentiation_How_to_Find_Stationary_Points

11.24   6373_Stationary_Points_Nature_of_1st_differential_method

11.25   6374_Stationary_Points_Nature_of_2nd_differential_method

11.26   6375_How_to_find_stationary_points_and_determine_the_nature_Example_2

11.27   6376_Stationary_Points_P1_CIE_June_2013_Q9_i

11.28   6377_Nature_of_Stationary_Points_P1_CIE_June_2013_Q9_ii

11.29   6378_Equation_of_a_Curve_given_f_x_P1_CIE_June_2013_Q9_iii

11.30   6379_Turning_points_C2_Edexcel_January_2013_Q8

11.31   6380_C1_OCR_June_2012_Q8

11.32   6381_Stationary_Points_Maximum_Volume_of_a_Box

11.33   6382_Optimisation_P1_Pure_maths_Cambridge_International_Exams_CIE_Nov_2013_Q8_i

11.34   6383_Optimisation_P1_Pure_maths_Cambridge_International_Exams_CIE_Nov_2013_Q8_ii

11.35   6384_C2_Edexcel_June_2012_Q8_a_b

11.36   6385_Calculus_Max_and_Min_C2_Edexcel_June_2012_Q8_c

11.37   6386_Max_and_Min_C2_Edexcel_June_2012_Q8_d

11.38   6387_Nature_of_Stationary_Point_C2_Edexcel_June_2012_Q8_e

11.39   6388_C2_Edexcel_January_2012_Q8_a_b

11.40   6389_Stationary_Points_C2_Edexcel_January_2012_Q8_c

11.41   6390_C2_Edexcel_January_2012_Q8_d

11.42   6391_Differentiation_Increasing_Decreasing_Functions

11.43   6392_Increasing_Functions_P1_CIE_June_2013_Q1

11.44   6393_Differentiation_the_exponential_function_e_x

11.45   6394_Differentiation_The_natural_log_function_ln_x

11.46   6395_Differentiation_Trig._functions_sin_x_cos_x_and_tan_x

11.47   6396_How_to_Differentiate_sine_from_first_principles

11.48   6397_How_to_Differentiate_cosine_from_first_principles

11.49   6398_How_to_differentiate_using_The_Chain_Rule

11.50   6399_How_to_differentiate_composite_Exponential_Functions

11.51   6400_How_to_Differentiate_Log_functions_Maths_Made_Easy_by

11.52   6401_How_to_differentiate_Composite_Trigonometric_Functions

11.53   6402_How_to_differentiate_Composite_Trig._functions_raised_to_a_power_part_1

11.54   6403_How_to_differentiate_Inverse_Trig_Functions_Example_2

11.55   6404_Differentiation_The_Product_Rule

11.56   6405_Differentiation_Product_Rule_Summary_Exercise

11.57   6406_Proof_of_the_Product_Rule_for_Differentiation

11.58   6407_Differentiation_The_Quotient_Rule

11.59   6408_Proof_of_the_Quotient_Rule_for_Differentiation

11.60   6409_Differentiation_Quotient_Rule_Example

11.61   6410_Differentiating_sec_x_cosec_x_and_cot_x

11.62   6411_Applying_the_Chain_Rule_to_differentiating_sec_cosec_and_cot_functions

11.63   6412_Differentiation_Finding_dy_dx_from_dx_dy_Example_1

11.64   6413_Edexcel_C3_Core_Maths_June_2014_Q1_a

11.65   6414_Edexcel_C3_Core_Maths_June_2014_Q1(b)

11.66   6415_Tricky_trig._differentiation_question_Core_Maths_C3_Edexcel_June_2013_Q5_a_b

11.67   6416_Awkward_2nd_Differential_Question_Core_Maths_C3_Edexcel_June_2013_Q5_c

11.68   6417_Differentiation_Product_and_Chain_Rule_C3_Edexcel_January_2013_Q5_i_a

11.69   6418_Differentiation_Chain_Rule_C3_Edexcel_January_2013_Q5_i_b

11.70   6419_Differentiation_C3_Edexcel_January_2013_Q5_ii

11.71   6420_Differentiation_Methods_C3_OCR_January_2013_Q1

11.72   6421_Product_Rule_Chain_Rule_C3_Edexcel_June_2012_Q7_a_i

11.73   6422_Quotient_Rule_Chain_Rule_C3_Edexcel_June_2012_Q7_a_ii

11.74   6423_dy_dx_=_1_dx_dy_rule_C3_Edexcel_June_2012_Q7_b

11.75   6424_Edexcel_C3_Core_Maths_June_2014_Q3_a

11.76   6425_Edexcel_C3_Core_Maths_June_2014_Q3_b

11.77   6426_Gradient_Differentiation_example

11.78   6427_Chain_Rule_application_C3_Edexcel_January_2013_Q1

11.79   6428_A_Level_Edexcel_Core_Maths_C3_June_2011_Q7a

11.80   6429_A_Level_Edexcel_Core_Maths_C3_June_2011_Q7b

11.81   6430_Exponential_Equation_C3_Edexcel_January_2013_Q8

11.82   6431_A_Level_Edexcel_Core_Maths_C3_June_2011_Q5a_b

11.83   6432_A_Level_Edexcel_Core_Maths_C3_June_2011_Q5c

11.84   6433_Differentiation_of_a_x_type_exponential_functions

11.85   6434_How_to_differentiate_x_x

11.86   6435_Parametric_Equations_Differentiation

11.87   6436_Parametric_Differentiation_Second_Differential

11.88   6437_Parametric_Equations_Tangents_and_Normals

11.89   6438_Differentiation_Implicit_Equations

11.90   6439_Differentiation_Implicit_Equations_Using_the_Product_Rule

11.91   6440_Tangents_to_Implicit_Curves

11.92   6441_Edexcel_C4_Core_Maths_June_2014_Q1_a

11.93   6442_Edexcel_C4_Core_Maths_June_2014_Q1_b

11.94   6443_Implicit_Differentiation_Core_Maths_C4_Edexcel_June_2013_Q7_a

11.95   6444_Tangent_parallel_to_the_y_axis_Core_Maths_C4_Edexcel_June_2013_Q7_b

11.96   6445_Implicit_Differentiation_Edexcel_Core_Maths_C4_June_2012_Q5_a

11.97   6446_Edexcel_Core_Maths_C4_June_2012_Q5_b

11.98   6447_Differentiation_Connected_Rates_of_Change_Example_1

11.99   6448_Differentiation_Connected_Rates_of_Change_Example_2

11.100   6449_Differentiation_Connected_Rates_of_Change_Example_2

11.101   6450_Differentiation_Connected_Rates_of_Change_Example_3

11.102   6451_Edexcel_C4_Core_Maths_June_2014_Q4

11.103   6452_Volume_of_a_Cone_example

11.104   6453_Differentiation_Connected_Rates_of_Change_Example_1

11.105   6454_Rates_of_Change_Edexcel_Core_Maths_C4_June_2012_Q2

11.106   6455_Differentiation_Connected_Rates_of_Change_Exam_Question

12.1   6456_What_is_Integration_Basic_Types_ExamSolutions

12.2   6457_Integration_Past_Paper_Question_ExamSolutions

12.3   6458_Integration_Past_Paper_Question_ExamSolutions

12.4   6459_Integration_Past_Paper_Question_ExamSolutions

12.5   6460_Definite_Integration_ExamSolutions

12.6   6461_Area_under_and_between_Curves_by_Integration_ExamSolutions

12.7   6462_Integration_(ax_b)^n_How_to_ExamSolutions

12.8   6463_Finding_the_equation_of_a_curve_from_its_gradient_function_Tutorial_1_ExamSolutions

12.9   6464_Finding_the_equation_of_a_curve_from_its_gradient_function_Tutorial_2_ExamSolutions

12.10   6465_Finding_f_x_given_f_x_Pure_maths_P1_CIE_Nov_2013_Q2_ExamSolutions_Maths_Revision

12.11   6466_C1_Edexcel_June_2013_Q9_a_b_ExamSolutions_Maths_Revision

12.12   6467_Finding_f_x_given_f_x_C1_Edexcel_June_2013_Q9_c_ExamSolutions_Maths_Revision

12.13   6468_Differential_Equations_C1_Edexcel_January_2013_Q8_ExamSolutions_Maths_Revision_Tutorials

12.14   6469_Integration_methods_C2_OCR_January_2013_Q3_ExamSolutions_Maths_Revision

12.15   6470_Integration_ax_b_n_type_example_ExamSolutions_Maths_Revision_OCR_C3_June_2013_Q1_i

12.16   6471_Integration_c_ax_b_1_type_example_ExamSolutions_Maths_Revision_OCR_C3_June_2013_Q1_ii

12.17   6472_Area_under_a_curve_C3_OCR_January_2013_Q5_i_ExamSolutions_Maths_Revision

12.18   6473_Volume_of_Revolution_C3_OCR_January_2013_Q5_ii_ExamSolutions_Maths_Revision

12.19   6474_Integration_by_recognition_C3_OCR_June_2012_Q4_a_ExamSolutions_Maths_Revision

12.20   6475_Integration_of_exponential_functions_C3_OCR_June_2012_Q4_b_ExamSolutions_Maths_Revision

12.21   6476_How_to_integrate_exponential_functions_ExamSolutions_Maths_Revision_Tutorials

12.22   6477_Integration_1_x_and_1_ax_b_types_ExamSolutions

12.23   6478_Q4_Edexcel_Pure_Maths_1_Specimen_ExamSolutions

12.24   6479_How_to_do_Integrals_of_the_form_f_x_f_x_ExamSolutions_maths_problems_answered

12.25   6480_Exercise_on_Integrals_of_the_form_f_x_f_x_ExamSolutions_maths_problems_answered

12.26   6481_Why_the_Modulus_Sign_for_Ln_x_in_Integrals_ExamSolutions_Maths_Videos

12.27   6482_Example_where_the_Modulus_Sign_for_Ln_x_in_integrals_is_used_ExamSolutions

12.28   6483_How_to_integrate_f_x_e_f_x_type_integrals_ExamSolutions

12.29   6484_Integration_of_trigonometric_functions_sin_x_cos_x_and_sec_x_ExamSolutions

12.30   6485_Integration_sin_ax_b_cos_ax_b_sec_ax_b_types_ExamSolutions

12.31   6486_Integration_using_trigonometric_identities_1_ExamSolutions

12.32   6487_Integration_using_trigonometric_identities_2_ExamSolutions

12.33   6488_Integration_using_trigonometric_identities_3_ExamSolutions

12.34   6489_Integration_How_to_integrate_sine_squared_functions_ExamSolutions_Maths_Revision

12.35   6490_Integration_How_to_integrate_cosine_squared_functions_ExamSolutions_Maths_Revision

12.36   6491_Integration_Edexcel_Core_Maths_C4_June_2009_Q8a_ExamSolutions

12.37   6492_Volume_of_revolution_Edexcel_Core_Maths_C4_June_2009_Q8b_ExamSolutions

12.38   6493_Edexcel_Core_Maths_C4_June_2009_Q8c_ExamSolutions

12.39   6494_A_Level_Maths_Edexcel_C4_January_2008_Q4_ver_2_ExamSolutions

12.40   6495_A_Level_Maths_Edexcel_C4_January_2008_Q4_ii_ExamSolutions

12.41   6496_Integration_Partial_Fraction_types_ExamSolutions

12.42   6497_Identities_Partial_Fractions_Edexcel_Core_Maths_C4_June_2012_Q1_a_ExamSolutions

12.43   6498_Indefinite_Integration_Edexcel_Core_Maths_C4_June_2012_Q1_b_ExamSolutions

12.44   6499_Definite_Integration_Edexcel_Core_Maths_C4_June_2012_Q1_c_ExamSolutions_Maths_Revision

12.45   6500_Partial_Fractions_Edexcel_Core_Maths_C4_January_2011_Q3_a_ExamSolutions

12.46   6501_Integration_Partial_Fractions_Edexcel_Core_Maths_C4_January_2011_Q3_b_ExamSolutions

12.47   6502_Differential_Equation_Edexcel_Core_Maths_C4_January_2011_Q3_c_ExamSolutions

12.48   6503_Edexcel_Core_Maths_C4_June_2009_Q3b_i_ExamSolutions

12.49   6504_Edexcel_Core_Maths_C4_June_2009_Q3b_ii_ExamSolutions

12.50   6505_How_to_Integrate_by_substitution_1_ExamSolutions_Maths_Revision

12.51   6506_Integration_by_substitution_Further_type_2_ExamSolutions_Maths_Revision

12.52   6507_Integration_by_substitution_Root_types_method_1_ExamSolutions_Maths_Revision

12.53   6508_Integration_by_substitution_Root_types_method_2_ExamSolutions_Maths_Revision

12.54   6509_How_to_Integrate_by_substitution_Trig_example_to_try_with_limits_ExamSolutions_Maths_Revision

12.55   6510_Integration_by_Substitution_Exponential_type_to_try_ExamSolutions_Maths_Revision

12.56   6511_How_to_Integrate_by_substitution_with_limits_1_ExamSolutions_Maths_Revision

12.57   6512_How_to_Integrate_by_substitution_Trig_example_to_try_with_limits_ExamSolutions_Maths_Revision

12.58   6513_Integration_by_Substitution_Core_Maths_C4_Edexcel_June_2013_Q5_a_ExamSolutions

12.59   6514_Integration_by_Substitution_Core_Maths_C4_Edexcel_June_2013_Q5_b_ExamSolutions

12.60   6515_How_to_Integrate_by_substitution_example_1_ExamSolutions_Maths_Revision

12.61   6516_Integration_substitution_C4_Edexcel_January_2013_Q4_c_ExamSolutions_Maths_Revision_Tutorials

12.62   6517_Trapezium_Rule_Edexcel_Core_Maths_C4_January_2012_Q6_a_b_ExamSolutions

12.63   6518_Integration_by_substitution_Edexcel_Core_Maths_C4_January_2012_Q6_c_ExamSolutions

12.64   6519_Edexcel_Core_Maths_C4_January_2012_Q6_d_ExamSolutions

12.65   6520_Integration_by_Inspection_Integrals_of_the_form_f_g_x_g_x

12.66   6521_Integrals_of_the_form_f_g_x_g_x_Summary_Exercise_ExamSolutions_Maths_Revision

12.67   6522_Integrals_of_the_form_Af_g_x_g_x_ExamSolutions_Maths_Revision

12.68   6523_Integrals_of_the_form_Af_g_x_g_x_Summary_Exercise_ExamSolutions_Maths_Revision

12.69   6524_How_to_do_integration_by_parts_ExamSolutions

12.70   6525_Integration_by_Parts_applying_twice_over_type_ExamSolutions_Maths_Revision

12.71   6526_How_to_do_Integration_by_Parts_Examples

12.72   6527_How_to_do_Integration_by_Parts_with_natural_logs

12.73   6528_How_to_integrate_e_ax_sin_bx_and_e_ax_cos_bx_ExamSolutions_Maths_Revision

12.74   6529_How_to_integrate_e_x_cos_x_by_parts_ExamSolutions_Maths_Revision

12.75   6530_How_to_integrate_e_2x_sin_3x_by_parts_ExamSolutions_Maths_Revision

12.76   6531_How_to_integrate_e_3x_cos_5x_by_parts_ExamSolutions_Maths_Revision

12.77   6532_How_to_do_Integration_by_Parts_with_limits

12.78   6533_How_to_do_Integration_by_Parts_proof_of_formula

12.79   6534_Integration_by_Parts_Core_Maths_C4_Edexcel_June_2013_Q1_ExamSolutions

12.80   6535_How_to_do_integration_by_parts_OCR_C4_June_2013_Q2

12.81   6536_Integration_C4_Edexcel_January_2013_Q2_ExamSolutions_Maths_Revision_Tutorials

12.82   6537_Integration_Edexcel_Core_Maths_C4_June_2012_Q7_b_ExamSolutions_Maths_Revision

12.83   6538_General_Methods_for_Integration_Examples_1_ExamSolutions_Maths_Revision

12.84   6539_General_Methods_for_Integration_Examples_2a_ExamSolutions_Maths_Revision

12.85   6540_General_Methods_for_Integration_Examples_2b_ExamSolutions_Maths_Revision

12.86   6541_General_Methods_for_Integration_Examples_3_ExamSolutions_Maths_Revision

12.87   6542_Calculus_Integration_Mixed_examples_1_ExamSolutions

12.88   6543_Calculus_Integration_Mixed_examples_2_ExamSolutions

12.89   6544_Calculus_Integration_Mixed_examples_3_ExamSolutions

12.90   6545_Calculus_Integration_Mixed_examples_4_ExamSolutions

12.91   6546_Calculus_Integration_Mixed_examples_5_ExamSolutions

12.92   6547_Calculus_Integration_Mixed_examples_6_ExamSolutions

12.93   6548_How_to_find_the_area_bounded_by_a_curve_above_the_x_axis_tutorial_1_ExamSolutions

12.94   6549_Area_bounded_by_a_curve_below_the_x_axis_tutorial_2_ExamSolutions

12.95   6550_Area_bounded_by_a_curve_above_and_below_the_x_axis_tutorial_3_ExamSolutions

12.96   6551_How_to_find_the_area_bounded_by_two_curves_tutorial_4_ExamSolutions

12.97   6552_Area_between_curve_and_line_P1_Pure_maths_Cambridge_International_Exams_CIE_Nov_2013_Q10_ii

12.98   6553_Trapezium_Rule_C2_Edexcel_January_2013_Q9_a_b_ExamSolutions_Maths_Revision

12.99   6554_Integration_Area_under_a_graph_C2_Edexcel_January_2013_Q9_c_ExamSolutions_Maths_Revision

12.100   6555_Intersection_of_Graphs_C2_Edexcel_June_2012_Q5_a_ExamSolutions_Maths_Tutorials

12.101   6556_Area_under_a_graph_C2_Edexcel_June_2012_Q5_b_ExamSolutions_Maths_Tutorials

12.102   6557_Integration_Parametric_type_Area_under_a_graph_ExamSolutions

12.103   6558_Solving_a_Differential_Equation_by_separating_the_variables_1_ExamSolutions

12.104   6559_Where_does_the_Constant_C_go_in_a_Differential_Equation_ExamSolutions_Maths_Revision

12.105   6560_Solving_a_Differential_Equation_by_separating_the_variables_(2)_ExamSolu

12.106   6561_Solving_a_Differential_Equation_by_separating_the_variables_(3)_ExamSolutions

12.107   6562_Forming_Differential_Equations_(Direct_Proportion)_ExamSolutions

12.108   6563_Forming_Differential_Equations_(Inverse_Proportion)_ExamSolutions

12.109   6564_Differential_Equations_Newtons_Law_of_Cooling_ExamSolutions

12.110   6565_Forming_a_differential_equation_solving_(example_to_try)_ExamSolutions_OCR_C4_June_2013_Q8(i)

12.111   6566_ExamSolutions_Maths_Revision_OCR_C4_June_2013_Q8(ii)

12.112   6567_Differential_Equation_Core_Maths_C4_Edexcel_June_2013_Q6(a)_ExamSolutions

12.113   6568_Differential_Equation_Core_Maths_C4_Edexcel_June_2013_Q6(b)_ExamSolutions

12.114   6569_Solving_a_Differential_Equation_C4_Edexcel_January_2013_Q8(a)_ExamSolutions_Maths_Revision

12.115   6570_Exponential_Decay_C4_Edexcel_January_2013_Q8(b)_ExamSolutions_Maths_Revision

12.116   6571_Differential_Equations_Edexcel_Core_Maths_C4_June_2012_Q4_ExamSolutions_Maths_Revision