Given that
∫π6π2xsinx dx=aπ+b \int_{\frac{\pi}{6}}^{\frac{\pi}{2}} x \sin x \, dx = a\pi + b ∫6π2πxsinxdx=aπ+bfind the exact value of aaa and the exact value of bbb.
Fully justify your answer.
52 exam-style questions on Edexcel A Level Maths 11.6 Integration by Parts. Each one has a worked solution and a mark scheme showing where the marks go.