Questions in indefinite-integration

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$\int_{{}}^{{}}{\frac{\log x}{{{(1+\log x)}^{2}}}dx=}$
$\int_{{}}^{{}}{\left( \frac{2+\sin 2x}{1+\cos 2x} \right)\,\,{{e}^{x}}dx=}$
$\int_{{}}^{{}}{{{e}^{x}}\sin x\ dx=}$
$\int_{{}}^{{}}{(1-{{x}^{2}})\log x\ dx=}$
$\int_{{}}^{{}}{{{e}^{2x}}(-\sin x+2\cos x)\ dx=}$
$\int_{{}}^{{}}{[f(x)g''(x)-f''(x)g(x)]}\ dx$ is equal to
The value of $\int_{{}}^{{}}{x\sin kx\ dx}$is
$\int_{{}}^{{}}{x{{e}^{x}}\ dx}$is equal to
$\int_{{}}^{{}}{{{x}^{3}}{{e}^{{{x}^{2}}}}dx=}$
The value of $\int{\frac{\log x}{{{(x+1)}^{2}}}dx}$ is

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