Questions in indefinite-integration

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$\int_{{}}^{{}}{\frac{{{e}^{x}}(x+1)}{{{\cos }^{2}}(x{{e}^{x}})}dx=}$
$\int_{{}}^{{}}{\frac{\cos \sqrt{x}}{\sqrt{x}}}dx=$
$\int_{{}}^{{}}{\frac{x+1}{\sqrt{1+{{x}^{2}}}}dx}=$
$\int_{{}}^{{}}{\frac{\sin x\cos x}{a{{\cos }^{2}}x+b{{\sin }^{2}}x}dx=}$
$\int_{{}}^{{}}{\frac{{{e}^{{{\tan }^{-1}}x}}}{1+{{x}^{2}}}dx=}$
$\int_{{}}^{{}}{\frac{1}{x{{(\log x)}^{2}}}}\ dx=$
$\int_{{}}^{{}}{\frac{1}{\sqrt{x}}{{\tan }^{4}}\sqrt{x}}{{\sec }^{2}}\sqrt{x}\ dx=$
$\int_{{}}^{{}}{\frac{{{a}^{x}}}{\sqrt{1-{{a}^{2x}}}}dx=}$
$\int_{{}}^{{}}{\frac{\sqrt{\tan x}}{\sin x\cos x}}\ dx=$
$\int_{{}}^{{}}{\frac{\sin 2x}{{{a}^{2}}+{{b}^{2}}{{\sin }^{2}}x}}\ dx=$

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