Questions in definite-integral

Select	Question
	$\int_{-\pi /4}^{\pi /2}{{{e}^{-x}}\sin x\,dx}=$
	$\int_{0}^{\pi /2}{\frac{1+2\cos x}{{{(2+\cos x)}^{2}}}=}$
	$\int_{0}^{\pi }{\frac{dx}{1-2a\cos x+{{a}^{2}}}}\,$=
	$\int_{0}^{1}{{{(1-x)}^{9}}dx=}$
	$\int_{0}^{\pi /3}{\cos 3x\,dx=}$
	The value of $\int_{0}^{\pi /4}{\frac{1+\tan x}{1-\tan x}\,dx}$ is
	The value of $\int_{0}^{1}{\frac{dx}{{{e}^{x}}+{{e}^{-x}}}}$ is
	$\int_{1}^{e}{\frac{1+\log x}{x}\,dx=}$
	If $\int_{0}^{1}{x\log \left( 1+\frac{x}{2} \right)}\,dx=a+b\log \frac{2}{3},$ then
	$\int_{0}^{1}{\frac{dx}{\sqrt{1+x}-\sqrt{x}}=}$