JEE Math Practice Question

If $$\int {{{\cos \theta } \over {5 + 7\sin \theta - 2{{\cos }^2}\theta }}} d\theta $$ = A$${\log _e}\left| {B\left( \theta \right)} \right| + C$$, where C is a constant of integration, then $${{{B\left( \theta \right)} \over A}}$$ can be :

1. A.$${{2\sin \theta + 1} \over {5\left( {\sin \theta + 3} \right)}}$$
2. B.$${{2\sin \theta + 1} \over {\sin \theta + 3}}$$
3. C.$${{5\left( {2\sin \theta + 1} \right)} \over {\sin \theta + 3}}$$
4. D.$${{5\left( {\sin \theta + 3} \right)} \over {2\sin \theta + 1}}$$