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3.7 Integration (A-level only)

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Question 135

Given that

∫π6π2xsin⁡x dx=aπ+b \int_{\frac{\pi}{6}}^{\frac{\pi}{2}} x \sin x \, dx = a\pi + b ∫6π​2π​​xsinxdx=aπ+b

find the exact value of aaa and the exact value of bbb.

Fully justify your answer.

[6]
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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