Questions in definite-integral

Select	Question
	$\int_{\,1}^{\,3}{(x-1)(x-2)(x-3)dx=}$
	$\int_{\,2}^{\,3}{\frac{dx}{{{x}^{2}}-x}=}$
	$\int_{\,8}^{\,15}{\frac{dx}{(x-3)\sqrt{x+1}}=}$
	The value of $\int_{\,0}^{\,\pi }{\,\left\| \,{{\sin }^{3}}\theta \, \right\|\,d\theta }$ is
	$\int_{\,0}^{\,1}{\,\sin \left( 2{{\tan }^{-1}}\sqrt{\frac{1+x}{1-x}} \right)\,dx=}$
	$\int_{\,0}^{\,3}{\,\frac{3x+1}{{{x}^{2}}+9}dx=}$
	The value of $\int_{1}^{2}{\frac{dx}{x(1+{{x}^{4}})}}$is
	The value of$\int_{2}^{3}{\frac{x+1}{{{x}^{2}}(x-1)}dx}$is
	The value of $\int_{1}^{e}{\log x\,dx}$is
	The value of $I=\int_{0}^{\pi /2}{\frac{{{(\sin x+\cos x)}^{2}}}{\sqrt{1+\sin 2x}}\text{ }}dx$is