Integrate the function $\int e^{3\log x}(x^4+1)^{-1}$

Question

$\begin{array}{1 1} \large \frac{\log|x^4+1|}{4} +c \\ \large \frac{1}{x^4+1} +c \\ \large \frac{x^4+1}{4} +c \\ \large \frac{1}{\log |x^4+1|} +c \end{array} $