Questions in definite-integral

Select	Question
	$\int_{0}^{\pi /4}{\frac{4\sin 2\theta \,d\theta }{{{\sin }^{4}}\theta +{{\cos }^{4}}\theta }}=$
	$\int_{0}^{1}{\frac{{{e}^{x}}(x-1)}{{{(x+1)}^{3}}}\,dx=}$
	If $x({{x}^{4}}+1)\varphi (x)=1,$ then $\int_{1}^{2}{\varphi (x)\,dx=}$
	$\int_{1/4}^{1/2}{\frac{dx}{\sqrt{x-{{x}^{2}}}}=}$
	The value of $\int_{0}^{2}{\frac{{{3}^{\sqrt{x}}}}{\sqrt{x}}}\,dx$ is
	$\int_{0}^{2\pi }{\,\,(\sin x+\cos x)\,dx=}$
	$\int_{0}^{\pi /4}{\frac{\sec x}{1+2{{\sin }^{2}}x}}$ is equal to
	The value of $\int_{0}^{\pi /2}{\frac{\sin x}{1+{{\cos }^{2}}x}\,dx}$ is
	The value of $\int_{1}^{2}{\log x\,dx}$ is
	The value of $\int_{3}^{5}{\frac{{{x}^{2}}}{{{x}^{2}}-4}\,dx}$ is