Integrate the function $\int\cos^3x\;e^{log\sin x}dx$

Question

$\begin{array}{1 1} -\large \frac{\cos ^4x}{4}+c \\ -\large \frac{\sin ^4x}{4}+c \\ -\large \frac{\log \mid cos ^4x\mid}{4}+c \\-\large \frac{\log \mid sin^4x\mid}{4}+c\end{array} $