Questions in indefinite-integration

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$\int_{{}}^{{}}{\frac{1}{x\sqrt{{{x}^{2}}-1}}\ dx=}$
$\int_{{}}^{{}}{\frac{\cos 2x+2{{\sin }^{2}}x}{{{\cos }^{2}}x}dx=}$
$\int_{{}}^{{}}{\frac{{{\sin }^{3}}x+{{\cos }^{3}}x}{{{\sin }^{2}}x{{\cos }^{2}}x}}\ dx=$
$\int_{{}}^{{}}{{{\left( \cos \frac{x}{2}-\sin \frac{x}{2} \right)}^{2}}dx=}$
$\int_{{}}^{{}}{\frac{1}{{{x}^{2}}}{{(2x+1)}^{3}}}dx=$
$\int_{{}}^{{}}{\frac{5({{x}^{6}}+1)}{{{x}^{2}}+1}dx=}$
$\int_{{}}^{{}}{\frac{a{{x}^{-2}}+b{{x}^{-1}}+c}{{{x}^{-3}}}}\ dx=$
$\int_{{}}^{{}}{\frac{dx}{\sin x+\sqrt{3}\cos x}}=$
$\int_{{}}^{{}}{\frac{{{x}^{2}}+x-6}{(x-2)(x-1)}dx=}$
$\int_{{}}^{{}}{\frac{dx}{4{{\cos }^{3}}2x-3\cos 2x}}=$

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