Questions in indefinite-integration

Select	Question
	$\int{{{e}^{x}}(1-\cot x+{{\cot }^{2}}x)\,\,dx}$ equals
	$\int_{{}}^{{}}{{{\sin }^{-1}}x\ dx}$is equal to
	$\int_{{}}^{{}}{\frac{x-\sin x}{1-\cos x}dx=}$
	$\int_{{}}^{{}}{\frac{x+\sin x}{1+\cos x}\ dx}$ is equal to
	If $\int_{{}}^{{}}{\frac{{{e}^{x}}(1+\sin x)dx}{1+\cos x}={{e}^{x}}f(x)+c}$, then $f(x)=$
	$\int_{{}}^{{}}{\sqrt{x}{{e}^{\sqrt{x}}}\ dx=}$
	$\int_{{}}^{{}}{32{{x}^{3}}{{(\log x)}^{2}}dx}$ is equal to
	$\int_{{}}^{{}}{{{\sin }^{-1}}(3x-4{{x}^{3}})dx=}$
	$\int_{{}}^{{}}{\cos \sqrt{x}\ dx=}$
	$\int_{{}}^{{}}{{{\tan }^{-1}}\frac{2x}{1-{{x}^{2}}}dx=}$