Questions in definite-integral

Select	Question
	$\int_{1/e}^{e}{\|\log x\|\,dx=}$
	$\int_{\,0}^{\,\pi /2}{\{x-[\sin x]\}\,dx}$ is equal to
	The value of the integral $I=\int_{\,0}^{\,1}{\,x{{(1-x)}^{n}}dx}$ is
	The value of $\int_{\pi }^{2\pi }{[2\sin x]\,dx,}$ where $[\,\,.\,\,]$ represents the greatest integer function, is
	If $f(x)$ is a continuous periodic function with period $T,$ then the integral $I=\int_{a}^{a+T}{f(x)\,dx}$ is
	If $\int_{0}^{\pi }{x\,f({{\cos }^{2}}x+{{\tan }^{4}}x)\,dx}$ $=k\int_{0}^{\pi /2}{f({{\cos }^{2}}x+{{\tan }^{4}}x)\,dx,}$ then the value of $k$ is
	$\int_{-3}^{3}{\frac{{{x}^{2}}\sin x}{1+{{x}^{6}}}\,dx=}$
	The value of $\int_{0}^{\pi /2}{\frac{dx}{1+{{\tan }^{3}}x}}$ is
	The value of $\int_{\pi /4}^{3\pi /4}{\frac{\varphi }{1+\sin \varphi }\,d\varphi ,}$ is
	If $f(a+b-x)=f(x),$ then $\int_{a}^{b}{x\,f(x)\,dx=}$