Questions in definite-integral

Select	Question
	The value of $\int_{-2}^{2}{(a{{x}^{3}}+bx+c)}$ depends on
	$\int_{\pi /6}^{\pi /4}{\text{cosec}\,2x\,dx=}$
	$\int_{0}^{\pi /2}{\sqrt{\cos \theta }{{\sin }^{3}}\theta }\,d\theta =$
	$\int_{0}^{\pi /4}{{{\sec }^{7}}\theta {{\sin }^{3}}\theta }\,d\theta =$
	$\int_{a}^{b}{\frac{\log x}{x}\,dx=}$
	$\int_{0}^{1}{{{\tan }^{-1}}x\,dx=}$
	$\int_{0}^{1}{\frac{dx}{{{[ax+b(1-x)]}^{2}}}}=$
	If $\int_{0}^{k}{\frac{dx}{2+8{{x}^{2}}}}=\frac{\pi }{16}\,,$ then $k=$
	$\int_{\pi /4}^{\pi /2}{\cos \theta \,\text{cose}{{\text{c}}^{\text{2}}}\theta \,d\theta =}$
	$\int_{0}^{1/\sqrt{2}}{\frac{{{\sin }^{-1}}x}{{{(1-{{x}^{2}})}^{3/2}}}dx=}$