Questions in definite-integral

Select	Question
	The value of the integral $\int_{-\pi }^{\pi }{{{(\cos ax-\sin bx)}^{2}}dx}$, (a and b are integer) is
	$\int_{\,0}^{\,\pi }{\sqrt{\frac{1+\cos 2x}{2}}\,dx}$ is equal to
	$\int_{\,0}^{\,2a}{f(x)dx=}$
	$\int_{\,0}^{\,\pi }{{{e}^{{{\sin }^{2}}x}}{{\cos }^{3}}x\,dx}$ is equals to
	Find the value of $\int_{\,0}^{\,9}{[\sqrt{x}+2]dx},$ where [.] is the greatest integer function
	The value of $\int_{\,0}^{\,\sqrt{2}}{[{{x}^{2}}]\,dx},$ where [.] is the greatest integer function
	$\int_{\,0}^{\,1000}{{{e}^{x-[x]}}dx}$ is
	The value of the integral $\int_{\,\frac{1}{n}}^{\,\frac{an-1}{n}}{\frac{\sqrt{x}}{\sqrt{a-x}+\sqrt{x}}dx}$ is
	$\int_{\,0}^{\,\pi /2}{\sin 2x\log \tan x\,dx}$ is equal to
	The integral $\int_{\,-1/2}^{\,1/2}{\,\left\{ [x]+\log \left( \frac{1+x}{1-x} \right) \right\}}\,dx$ equal (where [.] is the greatest integer function)