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3.6.1 Integration (A-level only)
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Question 52
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a.
Prove the identity
sin2x1+cot2x≡2sin3xcosx \frac{\sin 2x}{1 + \cot^2 x} \equiv 2 \sin^3 x \cos x
1
+
cot
2
x
sin
2
x
≡
2
sin
3
x
cos
x
[3]
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3
Grade answer
b.
Hence find
∫6sin4θ1+cot22θ dθ \int \frac{6 \sin 4\theta}{1 + \cot^2 2\theta} \, d\theta
∫
1
+
cot
2
2
θ
6
sin
4
θ
d
θ
[3]
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3
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3.6.1 Integration (A-level only) Questions
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3.6.1 Integration (A-level only)
