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Question 719

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

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

864 exam-style questions on Edexcel A Level Maths Integration, covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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