JEE Math Practice Question

The integral $$\int {{{{{\sin }^2}x{{\cos }^2}x} \over {{{\left( {{{\sin }^5}x + {{\cos }^3}x{{\sin }^2}x + {{\sin }^3}x{{\cos }^2}x + {{\cos }^5}x} \right)}^2}}}} dx$$ is equal to

1. A.$${{ - 1} \over {1 + {{\cot }^3}x}} + C$$
2. B.$${1 \over {3\left( {1 + {{\tan }^3}x} \right)}} + C$$
3. C.$${{ - 1} \over {3\left( {1 + {{\tan }^3}x} \right)}} + C$$
4. D.$${1 \over {1 + {{\cot }^3}x}} + C$$