Indefinite Integration

$\frac{\sin \left(\tan ^{-1} x^5\right)}{5}+\mathrm{c}$, where c is the constant of integration

$\quad x^4 \sin \left(\tan ^{-1} x^5\right)+\mathrm{c}$, where c is the constant of integration

$\frac{\sin \left(\tan ^{-1} x^5\right)}{4}+\mathrm{c}$, where c is the constant of integration

$\quad \cos \left(\tan ^{-1} x^5\right)+\mathrm{c}$, where c is the constant of integration