Complete a square after substitution and use a product derivative

(a) By using the substitution $u=\sqrt x$, find $\displaystyle\int\dfrac1{\sqrt x\,(x+2\sqrt x+2)}\,dx$.4 marks

(b) Find $\dfrac d{dx}(x\sin x)$.1 mark

Hence find $\displaystyle\int(\sin x+x\cos x)\ln x\,dx$.3 marks