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

ATARMAxxing · HSC Mathematics Extension 1 revision notes

Integrals of sin-squared, cos-squared and Inverse-Trig Forms

Calculus (ME-C2)
4 · Further Calculus Skills

What this note covers

  1. Double-Angle Identities: The Key to Integrating sin2(x) and cos2(x)
  2. Evaluating ∫ sin2(x) dx and ∫ cos2(x) dx
  3. Worked Example: Definite Integral of sin2(x) over [0, π]
  4. Standard Inverse Trigonometric Integrals
  5. Applying the Inverse-Trig Standard Integrals: Worked Examples
  6. Recognising Which Form to Use: A Decision Framework
  7. Combining Techniques: Mixed Integral Problems

7 sections · 12 key terms & formulas · 6 common mistakes

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