JEE Math Practice Question

The value of the integral $$\int\limits_0^1 {{{\sqrt x dx} \over {(1 + x)(1 + 3x)(3 + x)}}} $$ is :

1. A.$${\pi \over 8}\left( {1 - {{\sqrt 3 } \over 2}} \right)$$
2. B.$${\pi \over 4}\left( {1 - {{\sqrt 3 } \over 6}} \right)$$
3. C.$${\pi \over 8}\left( {1 - {{\sqrt 3 } \over 6}} \right)$$
4. D.$${\pi \over 4}\left( {1 - {{\sqrt 3 } \over 2}} \right)$$