The integral <br> $\begin{align*} \int \frac{\sin^2 x \cos^2 x}{(\sin^5 x + \cos^3 x \sin^2 x + \sin^3 x \cos^2x + \cos^5x)^2} \end{align*} \; dx$ is equal to:<br> (where C is a constant of integration)

Question

( A ) $\frac{1}{3(1+\tan^3 x) }+C$
( B ) $\frac{-1}{3(1+\tan^3 x) }+C$
( C ) $\frac{-1}{3(1+\cot^3 x) }+C$
( D ) $\frac{1}{3(1+\cot^3 x) }+C$