Questions in definite-integral

Select	Question
	$\int_{0}^{\pi }{x}\,f\,(\sin x)\,dx=$
	$\int_{-4}^{4}{\|x+2\|\,dx}=$
	$\int_{0}^{\pi /2}{\frac{\sqrt{\cot x}}{\sqrt{\cot x}+\sqrt{\tan x}}\,dx=}$
	$\int_{0}^{\pi /2}{\frac{d\theta }{1+\tan \theta }}=$
	If $f(x)=\int_{a}^{x}{{{t}^{3}}{{e}^{t}}\,dt\,,}$ then $\frac{d}{dx}\,f(x)=$
	$\int_{-1}^{1}{x\,\|x\|\,}dx=$
	$\int_{0}^{\pi }{x\log \sin x}\,dx=$
	$\int_{0}^{\pi /2}{\,\,\log \tan x\,dx=}$
	$\int_{0}^{\pi /2}{{}}\log \sin x\,dx=$
	$\int_{0}^{\pi /2}{\frac{\cos x-\sin x}{1+\sin x\cos x}}\,dx=$