Questions in indefinite-integration

Select	Question
	$\int_{{}}^{{}}{\frac{f'(x)}{{{[f(x)]}^{2}}}}\ dx=$
	For which of the following functions, the substitution ${{x}^{2}}=t$is applicable
	$\int_{{}}^{{}}{\tan x}{{\sec }^{2}}x\sqrt{1-{{\tan }^{2}}x}\ dx=$
	$\int_{{}}^{{}}{\frac{\sin 2x}{\sin 5x\sin 3x}}\ dx=$
	$\int_{{}}^{{}}{\frac{{{e}^{x}}\ dx}{\sqrt{1-{{e}^{2x}}}}=}$
	$\int_{{}}^{{}}{\frac{1}{\log a}({{a}^{x}}\cos {{a}^{x}})dx=}$
	$\int_{{}}^{{}}{\frac{\sin x\ dx}{{{(a+b\cos x)}^{2}}}=}$
	$\int_{{}}^{{}}{\frac{1}{{{x}^{3}}}{{[\log {{x}^{x}}]}^{2}}\ dx=}$
	$\int_{{}}^{{}}{\frac{1}{x}{{\sec }^{2}}(\log x)dx=}$
	$\int_{{}}^{{}}{\frac{dx}{x\log x\log (\log x)}=}$