Questions in indefinite-integration

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$\int_{{}}^{{}}{{{e}^{x}}\sin ({{e}^{x}})}\ dx=$
$\int_{{}}^{{}}{\frac{{{x}^{5}}\ dx}{\sqrt{(1+{{x}^{3}})}}=}$
$\int_{{}}^{{}}{\frac{{{({{x}^{4}}-x)}^{1/4}}}{{{x}^{5}}}\ dx}$ is equal to
$\int_{{}}^{{}}{\frac{1}{{{[{{(x-1)}^{3}}{{(x+2)}^{5}}]}^{1/4}}}\ dx}$ is equal to
$\int_{{}}^{{}}{\frac{1}{1+{{\sin }^{2}}x}\ dx=}$
The value of $\int_{{}}^{{}}{\frac{\sin x}{{{\cos }^{2}}x}\ dx}$ is
The value of$\int_{{}}^{{}}{{{e}^{x}}{{\sec }^{2}}({{e}^{x}})\ dx}$ is
The value of $\int_{{}}^{{}}{\frac{dx}{x\sqrt{{{x}^{4}}-1}}}$ is
$\int_{{}}^{{}}{\frac{t}{{{e}^{3{{t}^{2}}}}}\ dt=}$
If $\int_{{}}^{{}}{\frac{1}{(1+x)\sqrt{x}}\ dx=f(x)+A}$, where A is any arbitrary constant, then the function $f(x)$ is

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