Integrate the function $\frac{x^3\sin\bigg(\tan^{-1}x^4\bigg)}{1+x^8}$

Question

$\begin{array}{1 1}\large \frac{-\cos(\tan^{-1}x^4)}{4}+c \\ \large \frac{\cos(\tan^{-1}x^4)}{4}+c \\ \large \frac{-\sin (\tan^{-1}x^4)}{4}+c \\ \large \frac{\sin (\tan^{-1}x^4)}{4}+c \end{array}$