Questions in definite-integral

Select	Question
	$\int_{-a}^{a}{\sin x\,f(\cos x)\,dx=}$
	The value of $\int_{0}^{2\pi }{\|{{\sin }^{3}}\theta \|\,d\theta }$ is
	$\int_{\,-1}^{\,2}{\|x\|\,dx}$
	$\int_{\,0}^{\,3}{\|2-x\|dx}$ equals
	The value of $\int_{\,0}^{\,\pi /2}{\frac{{{2}^{\sin x}}}{{{2}^{\sin x}}+{{2}^{\cos x}}}dx}$ is
	The value of $\int_{\,0}^{\,1}{\,\|\,3{{x}^{2}}-1\,\|\,dx}$ is
	$\int_{-\,\pi /2}^{\,\pi /2}{\,\frac{\sin x}{1+{{\cos }^{2}}x}{{e}^{-{{\cos }^{2}}x}}dx}$ is equal to
	$f(x)=f(2-x),$ then $\int_{\,0.5}^{\,1.5}{\,xf(x)\,dx}$ equals
	The value of $\int_{\,0}^{\,\pi /2}{\frac{{{e}^{{{x}^{2}}}}}{{{e}^{{{x}^{2}}}}+{{e}^{{{\left( \frac{\pi }{2}\,\,-\,\,x \right)}^{2}}}}}dx}$ is
	If $[x]$ denotes the greatest integer less than or equal to $x$, then the value of $\int_{\,1}^{\,5}{\,\,[\|x-3\|]\,dx}$ is