Questions in definite-integral

Select	Question
	The value of $\int_{0}^{1}{(1+{{e}^{-{{x}^{2}}}})}\,dx=$
	$\int_{0}^{2a}{\frac{f(x)}{f(x)+f(2a-x)}\,dx=}$
	The value of $\int_{0}^{n\pi +v}{\|\sin x\|\,dx}$ is
	If ${{u}_{n}}=\int_{0}^{\pi /4}{{{\tan }^{n}}x\,dx,}$ then ${{u}_{n}}+{{u}_{n-2}}=$
	$\int_{0}^{1}{\log \sin \left( \frac{\pi }{2}x \right)}\,dx=$
	$\int_{0}^{\pi /2}{{{\left( \frac{\theta }{\sin \theta } \right)}^{2}}d\theta =}$
	$\int_{0}^{1}{\frac{\log x}{\sqrt{1-{{x}^{2}}}}\,dx=}$
	$\int_{0}^{\pi /2}{x\cot x\,dx}$ equals
	The integral value $\int_{-2}^{0}{\left[ {{x}^{3}}+3{{x}^{2}}+3x+3+(x+1)\cos (x+1) \right]\ dx}$ is
	If $\int_{\sin x}^{1}{{{t}^{2}}f(t)\ dt=1-\sin x}$,$x\in \left( 0,\frac{\pi }{2} \right)$ then $f\ \left( \frac{1}{\sqrt{3}} \right)$ equal to