Questions in definite-integral

Select	Question
	$\int_{-1}^{1}{\log \frac{2-x}{2+x}\,dx}=$
	$\int_{-1}^{1}{{{x}^{17}}{{\cos }^{4}}x}\,dx=$
	$\int_{0}^{\pi /2}{\frac{{{\sin }^{3/2}}x\,dx}{{{\cos }^{3/2}}x+{{\sin }^{3/2}}x}}=$
	$\int_{-\pi /2}^{\pi /2}{\sqrt{\frac{1}{2}(1-\cos 2x)}}\,dx=$
	$\int_{-\pi /2}^{\pi /2}{\log \left( \frac{2-\sin \theta }{2+\sin \theta } \right)\,d\theta =}$
	If $f(x)=\begin{cases} 4x+3\,, & \text{if} & 1\le x\le 2 \\ 3x+5\,, & \text{if} & 2
	$\int_{0}^{\pi /4}{\log (1+\tan \theta )\,d\theta =}$
	$\int_{0}^{2\pi }{\frac{\sin 2\theta }{a-b\,\cos \theta }\,d\theta =}$
	$\int_{0}^{1}{f(1-x)\,dx}$ has the same value as the integral
	The smallest interval $[a,\,\,b]$ such that $\int_{0}^{1}{\frac{dx}{\sqrt{1+{{x}^{4}}}}}\in [a,\,\,b]$ is given by