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1.11 H: Integration

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Question 331
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]

1.11 H: Integration Questions

  1. A Level
  2. /Maths
  3. /1.11 H: Integration

Practise AQA A Level Maths 1.11 H: Integration with exam-style questions for A Level Maths. 436 questions covering 1.11.1 Fundamental Theorem of Calculus, 1.11.2 Integrating standard functions, 1.11.3 Definite integrals and areas, 1.11.4 Integration as the limit of a sum (A-level only), 1.11.5 Integration by substitution and by parts (A-level only), 1.11.6 Integration using partial fractions (A-level only), 1.11.7 Differential equations with separable variables (A-level only), and 1.11.8 Interpreting solutions of differential equations (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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