$\int \cos ^3 x e^{\log (\sin x)} d x$ is equal to
Answer & explanation
Correct answer: option 2
$e^{\log \sin x}=\sin x$
∴ $\int \cos ^3 x \sin x d x$ Put cos x = t
$\Rightarrow-\int t^3 d t=-\frac{t^4}{4}+c=-\frac{\cos ^4 x}{4}+c$
Hence (2) is the correct answer.