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3.6 Integration (A-level only)

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Question 20
a.

Find ∫x2cos⁡4x dx\int x^2 \cos 4x \, dx∫x2cos4xdx

[4]
b.

A satellite's distance rrr from a planet is modeled by the differential equation

drdθ=(θsin⁡2θ)2r2 \frac{dr}{d\theta} = \frac{(\theta \sin 2\theta)^2}{r^2} dθdr​=r2(θsin2θ)2​

where θ\thetaθ is the angular displacement in radians.

Hence solve this differential equation to find an expression for r3r^3r3 in terms of θ\thetaθ.

[5]
Markscheme

3.6 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Integration (A-level only)

363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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