H2 Math – Techniques of Integration – Tim Gan Math Online Courses

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Integration Techniques 1 Topic

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Pg 1 - Integration Techniques

Integrals and Derivatives given in MF 26

O level/ IP Level Standard Integrals

Method of substitution (Cancelling Method) 11 Topics

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Pg 3 Q1 - Method of substitution (Cancelling Method)

Pg 3 Q2 - Method of substitution (Cancelling Method)

Pg 3 Q3 - Method of substitution (Cancelling Method)

Pg 3 Q4 - Method of substitution (Cancelling Method)

Pg 5 Q1 - Method of substitution (Cancelling Method)

Pg 5 Q2 - Method of substitution (Cancelling Method)

Pg 6 Q2 - Method of substitution (Cancelling Method)

Pg 6 Q5 - Method Of Substitution (Cancelling Method)

Pg 6 Q6 - Method of substitution (Cancelling Method)

Pg 6 Q7 - Method of substitution (Cancelling Method)

Pg 6 Q8 - Method Of Substitution (Cancelling Method)

Integration of Algebraic Fractions 2 Topics

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Integration Of Algebraic Fractions Additional - Explanation

Pg 8 Q1 - Integration of Algebraic Fractions

¹⁄_{&Sqrt; a²-x²},

¹⁄_x²-a² 7 Topics

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Pg 9 Q1 - Integration of \(\frac{1}{\sqrt{{{a}^{2}}-{{x}^{2}}}},\frac{1}{{{a}^{2}}+{{x}^{2}}},\frac{1}{{{a}^{2}}-{{x}^{2}}},\frac{1}{{{x}^{2}}-{{a}^{2}}}\)..

Pg 9 Q2 - Integration of \(\frac{1}{\sqrt{{{a}^{2}}-{{x}^{2}}}},\frac{1}{{{a}^{2}}+{{x}^{2}}},\frac{1}{{{a}^{2}}-{{x}^{2}}},\frac{1}{{{x}^{2}}-{{a}^{2}}}\)..

Pg 9 Q3 - Integration of \(\frac{1}{\sqrt{{{a}^{2}}-{{x}^{2}}}},\frac{1}{{{a}^{2}}+{{x}^{2}}},\frac{1}{{{a}^{2}}-{{x}^{2}}},\frac{1}{{{x}^{2}}-{{a}^{2}}}\)..

Pg 9 Q5 - Integration of \(\frac{1}{\sqrt{{{a}^{2}}-{{x}^{2}}}},\frac{1}{{{a}^{2}}+{{x}^{2}}},\frac{1}{{{a}^{2}}-{{x}^{2}}},\frac{1}{{{x}^{2}}-{{a}^{2}}}\)..

Pg 10 - Integration of \(\frac{1}{\sqrt{{{a}^{2}}-{{x}^{2}}}},\frac{1}{{{a}^{2}}+{{x}^{2}}},\frac{1}{{{a}^{2}}-{{x}^{2}}},\frac{1}{{{x}^{2}}-{{a}^{2}}}\)..

Pg 10 Q2 - Integration of \(\frac{1}{\sqrt{{{a}^{2}}-{{x}^{2}}}},\frac{1}{{{a}^{2}}+{{x}^{2}}},\frac{1}{{{a}^{2}}-{{x}^{2}}},\frac{1}{{{x}^{2}}-{{a}^{2}}}\)..

Pg 11 Q1 - Integration of \(\frac{1}{\sqrt{{{a}^{2}}-{{x}^{2}}}},\frac{1}{{{a}^{2}}+{{x}^{2}}},\frac{1}{{{a}^{2}}-{{x}^{2}}},\frac{1}{{{x}^{2}}-{{a}^{2}}}\)..

Integration of Trigonometric Functions 12 Topics

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Pg 12 Q1 - Integration of Trigonometric Functions

Pg 12 Q2 - Integration of Trigonometric Functions

Pg 12 Q3 - Integration of Trigonometric Functions

Pg 12 Q4 - Integration of Trigonometric Functions

Pg 12 Q5 - Integration of Trigonometric Functions

Pg 12 Q7 - Integration of Trigonometric Functions

Pg 13 Q1 - Integration of Trigonometric Functions

Pg 13 Q2 - Integration of Trigonometric Functions

Pg 13 Q5 - Integration of Trigonometric Functions

Pg 14 Q1 - Integration of Trigonometric Functions

Pg 14 Q5 - Integration of Trigonometric Functions

Integration by Parts 4 Topics

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Integration By Parts Additional Notes

Pg 15 Q3 - Integration By Parts

Pg 16 Q1 - Integration by Parts

Pg 17 Q1 - Integration by Parts

Infinite Integrals 1 Topic

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Pg 16 Q5 - Infinite Integrals

Integration by Substitution 1 Topic

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Pg 19 Q1 - Integration by Substitution