Questions in indefinite-integration

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$\int_{{}}^{{}}{{{\sin }^{3}}x{{\cos }^{2}}x\ dx=}$
$\int_{{}}^{{}}{\sin 2x\cos 3x\ dx=}$
$\int_{{}}^{{}}{\frac{\cos x}{(1+\sin x)(2+\sin x)}\ dx=}$
$\int_{{}}^{{}}{\frac{{{e}^{x}}}{(1+{{e}^{x}})(2+{{e}^{x}})}dx=}$
$\int_{{}}^{{}}{\frac{dx}{{{e}^{x}}+1-2{{e}^{-x}}}=}$
$\int_{{}}^{{}}{\frac{x}{{{x}^{4}}-1}dx=}$
$\int_{{}}^{{}}{{{\sin }^{5}}x{{\cos }^{4}}x\ dx=}$
$\int_{{}}^{{}}{\sqrt{{{x}^{2}}-8x+7}}\ dx=$
$\int_{{}}^{{}}{\frac{dx}{\sqrt{2x-{{x}^{2}}}}=}$
$\int_{{}}^{{}}{\frac{x\ dx}{({{x}^{2}}-{{a}^{2}})({{x}^{2}}-{{b}^{2}})}=}$

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