Further calculus skills

1

Integration by Substitution

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2

Substitution: Worked Examples

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3

Choosing the Substitution

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4

Trigonometric Substitutions

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5

Algebraic Manipulation Before Integration

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6

Integrating $\sin^2 nx$ and $\cos^2 nx$

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7

Integrating Powers of Sine & Cosine

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8

Integrating $\tan^2 x$ and $\sec^2 x$

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9

Derivatives of Inverse Functions

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10

Derivative of $\sin^{-1} x$

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11

Derivatives of $\cos^{-1} x$ and $\tan^{-1} x$

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12

Chain Rule with Inverse Trig

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13

Integrating $\dfrac{1}{\sqrt{a^2-x^2}}$

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14

Integrating $\dfrac{a}{a^2+x^2}$

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15

Completing the Square for Integration

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16

Mixed Integration Techniques

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17

Reduction Formulas

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18

Harder Integration Problems

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19

Calculus Exam Techniques

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20

Module 8 Synthesis & Exam Technique

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