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1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only)

1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only)

Medium
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Question 30
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

1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only) Questions

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  3. /1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only)

31 exam-style questions on OCR (MEI) A Level Maths 1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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