Questions in indefinite-integration

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$\int_{{}}^{{}}{{{\sin }^{2}}x\cos x\ dx}$ is equal to
$\int_{{}}^{{}}{{{e}^{{{x}^{2}}}}x\ dx}$ is equal to
The value of $\int_{{}}^{{}}{\frac{{{x}^{3}}}{\sqrt{1+{{x}^{4}}}}\ dx}$ is
What is the value of the integral $I=\int{\frac{dx}{(1+{{e}^{x}})\,\,(1+{{e}^{-x}})}}$
$\int{\frac{{{e}^{\sqrt{x}}}}{\sqrt{x}}dx}=$
$\int{\frac{{{\sin }^{3}}2x}{{{\cos }^{5}}2x}dx=}$
$\int{{{x}^{x}}(1+\log x)\,\,dx}$ is equal to
$\int{\frac{dx}{{{({{a}^{2}}+{{x}^{2}})}^{3/2}}}}$ is equal to
$\int_{{}}^{{}}{\frac{{{e}^{m{{\tan }^{-1}}x}}}{1+{{x}^{2}}}dx}$ equals to
$\int{\frac{1+{{\tan }^{2}}x}{1-{{\tan }^{2}}x}\,dx}$ equals to

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