Questions in indefinite-integration

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$\int_{{}}^{{}}{\text{cose}{{\text{c}}^{2}}x\ dx}$ is equal to
$\int_{{}}^{{}}{\left( 2\sin x+\frac{1}{x} \right)\ dx}$ is equal to
$\int_{{}}^{{}}{\sqrt{1+\cos x}\ dx}$ equals
$\int_{{}}^{{}}{2\sin x}\cos x\ dx$is equal to
$\int_{{}}^{{}}{{{\tan }^{2}}x\ dx}$ is equal to
$\int_{{}}^{{}}{{{e}^{\log (\sin x)}}dx=}$
$\int_{{}}^{{}}{{{e}^{x\log a}}.\ {{e}^{x}}\ dx}$is equal to
$\int_{{}}^{{}}{\frac{1}{\sqrt{1+\cos x}}\ dx=}$
$\int{\frac{\cos 2x-1\,\,}{\cos 2x+1}dx=}$
$\int{\frac{a{{x}^{3}}+b{{x}^{2}}+c}{{{x}^{4}}}\,\,dx}$ equals to

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