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.
119 exam-style questions on AQA A Level Maths 1.11.5 Integration by substitution and by parts (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.