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HSC Mathematics Extension 1 exam: Fri 23 Oct, 1:50pm — 13 days away

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Integration by Substitution

Calculus (ME-C2)
4 · Further Calculus Skills

What this note covers

  1. The Big Idea: Integration as the Reverse Chain Rule
  2. Indefinite Integration by Substitution: Method and Worked Example
  3. Definite Integration by Substitution: Changing the Limits
  4. The f'(x)/f(x) Pattern: Integrals Leading to Logarithms
  5. The f'(x)[f(x)]n Pattern: Power Integrals
  6. Choosing the Right Substitution: Strategy and Tips
  7. Examination Skills and Notation Conventions

7 sections · 14 key terms & formulas · 6 common mistakes

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