Questions in definite-integral

Select	Question
	$\int_{0}^{\pi }{x\sin x\,dx=}$
	If $\int_{-a}^{a}{\sqrt{\frac{a-x}{a+x}}\,dx=k\pi ,}$ then $k=$
	If $\int_{0}^{2a}{f(x)\,dx=2\int_{0}^{a}{f(x)\,dx,}}$ then
	If $I=\int_{0}^{\pi /4}{\,{{\sin }^{2}}x\,dx}$and$J=\int_{0}^{\pi /4}{{{\cos }^{2}}x\,dx,}$ then $I=$
	The value of $\int_{1}^{5}{(\|x-3\|+\|1-x\|)\,dx}$ is
	The value of $\int_{2}^{3}{\frac{\sqrt{x}}{\sqrt{5-x}+\sqrt{x}}}\,dx$ is
	The value of $\int_{0}^{\pi }{{{e}^{{{\cos }^{2}}x}}{{\cos }^{5}}3x}\,dx$ is
	$\int_{0}^{\pi /2}{\frac{1}{1+\sqrt{\tan x}}}\,dx=$
	The value of $\int_{-1}^{1}{\frac{\sin x-{{x}^{2}}}{3-\|x\|}\,dx}$ is
	$\int_{-1}^{1}{{{\sin }^{11}}x\,dx}$ is equal to