Given that ∫π6π2xsinx dx=aπ+b\int_{\frac{\pi}{6}}^{\frac{\pi}{2}} x \sin x \, dx = a\pi + b∫6π2πxsinxdx=aπ+b find the exact value of aaa and the exact value of bbb.
Fully justify your answer.
Practise Edexcel A Level Maths 11.6 Integration by Parts with exam-style questions for A Level Maths. 52 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.