Questions in definite-integral

Select	Question
	$\int_{0}^{\pi /8}{{{\cos }^{3}}4\theta d\theta }=$
	$\int_{3}^{8}{\frac{2-3x}{x\sqrt{(1+x)}}\text{ }}dx$is equal to
	The value of $\int_{0}^{1}{{{x}^{2}}{{e}^{x}}dx}$is equal to
	Let ${{I}_{1}}=\int_{1}^{2}{\frac{dx}{\sqrt{1+{{x}^{2}}}}}$and${{I}_{2}}=\int_{1}^{2}{\frac{dx}{x}}$ then
	The value of $\int_{1/e}^{\tan x}{\frac{t\,dt}{1+{{t}^{2}}}}+\int_{1/e}^{\cot x}{\frac{dt}{t(1+{{t}^{2}})}}=$
	$\int\limits_{\pi /4}^{3\pi /4}{\frac{dx}{1+\cos x}}$ is equal to
	The value of $\int_{1}^{{{e}^{2}}}{\frac{dx}{x{{(1+\ln x)}^{2}}}}$ is
	$\int_{\pi /4}^{\pi /2}{\text{cose}{{\text{c}}^{2}}xdx=}$
	If $\int_{\log 2}^{x}{\frac{du}{{{({{e}^{u}}-1)}^{1/2}}}}=\frac{\pi }{6}$, then ${{e}^{x}}=$
	If $g(1)=g(2)$, then $\int_{1}^{2}{{{\left[ fg(x) \right]}^{-1}}}f'\{g(x)\}\ g'(x)\ dx$is equal to