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Indefinite Integrals — Part 2: Integration by substitution

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Lesson

Indefinite Integrals, Part 2

The chain rule, read backwards, is the method of substitution.

In this lesson you will

  • Choose a suitable substitution by spotting an inside function and its derivative
  • Integrate the forms f′(x)[f(x)]^n and f′(x)/f(x)
  • Derive the integrals of tan x, cot x, sec x and cosec x
  • Use substitution with roots, exponentials and logarithms
Substitution is the chain rule read backwards.