Questions in indefinite-integration

Select	Question
	$\int_{{}}^{{}}{\frac{\sin 3x}{\sin x}\ dx=}$
	If $\int_{{}}^{{}}{\frac{f(x)\ dx}{\log \sin x}=\log \log \sin x}$, then $f(x)=$
	$\int_{{}}^{{}}{\frac{\sin x+\text{cosec}\,x}{\tan x}dx=}$
	$\int_{{}}^{{}}{\frac{1}{\sqrt{1+\sin x}}dx}=$
	$\int_{{}}^{{}}{{{(\tan x-\cot x)}^{2}}\ dx=}$
	$\int_{{}}^{{}}{{{\{1+2\tan x(\tan x+\sec x)\}}^{1/2}}dx=}$
	$\int_{{}}^{{}}{\frac{2x}{{{(2x+1)}^{2}}}dx=}$
	$\int_{{}}^{{}}{\frac{{{\sin }^{2}}x-{{\cos }^{2}}x}{{{\sin }^{2}}x{{\cos }^{2}}x}dx=}$
	$\int_{{}}^{{}}{(3\,\text{cose}{{\text{c}}^{2}}x+2\sin 3x)\ dx=}$
	If $f'(x)=\frac{1}{x}+x$ and $f(1)=\frac{5}{2}$, then $f(x)=$