Questions in indefinite-integration

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The value of $\int{\frac{2\,\,dx}{\sqrt{1-4{{x}^{2}}}}}$ is
$\int{{{e}^{3\log x}}{{({{x}^{4}}+1)}^{-1}}\,\,dx}$=
$\int_{{}}^{{}}{\frac{dx}{2\sqrt{x}(1+x)}=}$
$\int{\text{cose}{{\text{c}}^{4}}x\,dx}=$
$\int{x{{e}^{{{x}^{2}}}}}dx=$
If $\int{f(x)\,\,dx=g(x),}$ then $\int{{{f}^{-1}}(x)}\,\,dx$ is equal to
The value of $\int_{{}}^{{}}{\frac{{{e}^{x}}}{{{e}^{x}}+1}}\,dx$ is
The value of $\int_{{}}^{{}}{\frac{\sin x-\cos x}{\sin x+\cos x}\,dx}$ is
$\int_{{}}^{{}}{\frac{{{({{\tan }^{-1}}x)}^{3}}}{1+{{x}^{2}}}\,dx=}$
$\int_{{}}^{{}}{\sqrt{\frac{1-x}{1+x}}}\ dx=$

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