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3.7 Integration (A-level only)

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Question 131
a.

Prove the identity

sin⁡2x1+cot⁡2x≡2sin⁡3xcos⁡x \frac{\sin 2x}{1 + \cot^2 x} \equiv 2 \sin^3 x \cos x 1+cot2xsin2x​≡2sin3xcosx
[3]
b.

Hence find

∫6sin⁡4θ1+cot⁡22θ dθ \int \frac{6 \sin 4\theta}{1 + \cot^2 2\theta} \, d\theta ∫1+cot22θ6sin4θ​dθ
[3]
Markscheme

3.7 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.7 Integration (A-level only)

221 exam-style questions on WJEC A Level Maths 3.7 Integration (A-level only), covering 3.7.1 Integration (A-level only), 3.7.2 Integration (A-level only), 3.7.3 Integration (A-level only), 3.7.4 Integration (A-level only), 3.7.5 Integration (A-level only), and 3.7.6 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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