Questions in definite-integral

Select	Question
	The correct evaluation of $\int_{0}^{\pi /2}{\left\| \,\sin \left( x-\frac{\pi }{4} \right)\, \right\|\,dx}$ is
	$\int_{0}^{a}{f(x)\,dx}=$
	$\int_{0}^{\pi /2}{\,\,\,\,\,\|\sin x-\cos x\|\,dx=}$
	$\int_{0}^{\pi }{\|\cos x\|\,dx=}$
	The value of the integral $\int_{-\pi /4}^{\pi /4}{{{\sin }^{-4}}x}\,dx$ is
	$\int_{0}^{1.5}{[{{x}^{2}}]\,dx}$, where $[\,\,.\,\,]$denotes the greatest integer function, equals
	$\int_{0}^{\pi }{\frac{x\tan x}{\sec x+\tan x}}\,dx=$
	$\int_{0}^{\pi }{\frac{x\,\tan x}{\sec x+\cos x}}\,dx=$
	$\int_{-1}^{1}{{{\sin }^{3}}x{{\cos }^{2}}x\,dx=}$
	For any integer $n,$ the integral $\int_{0}^{\pi }{{{e}^{{{\sin }^{2}}x}}{{\cos }^{3}}(2n+1)x\,dx=}$