Questions in indefinite-integration

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$\int_{{}}^{{}}{\frac{{{\sec }^{2}}x\ dx}{\sqrt{{{\tan }^{2}}x+4}}=}$
$\int_{{}}^{{}}{\frac{2x{{\tan }^{-1}}{{x}^{2}}}{1+{{x}^{4}}}}\ dx=$
$\int_{{}}^{{}}{\frac{{{a}^{\sqrt{x}}}}{\sqrt{x}}dx=}$
$\int_{{}}^{{}}{\frac{{{x}^{3}}}{\sqrt{1-{{x}^{8}}}}dx=}$
$\int_{{}}^{{}}{2x{{\cos }^{3}}{{x}^{2}}\sin {{x}^{2}}dx=}$
$\int_{{}}^{{}}{{{\sec }^{4}}x\tan x\ dx=}$
$\int_{{}}^{{}}{{{e}^{-x}}\text{cose}{{\text{c}}^{2}}(2{{e}^{-x}}+5)}\ dx=$
$\int_{{}}^{{}}{{{\sin }^{3}}x\ .\ \cos x\ dx=}$
$\int_{{}}^{{}}{{{a}^{3x+3}}dx}=$
$\int_{{}}^{{}}{\frac{\cos 2x+x+1}{{{x}^{2}}+\sin 2x+2x}}\ dx=$

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