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 :

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 :

${{2\sin \theta + 1} \over {5\left( {\sin \theta + 3} \right)}}$

${{2\sin \theta + 1} \over {\sin \theta + 3}}$

${{5\left( {2\sin \theta + 1} \right)} \over {\sin \theta + 3}}$

${{5\left( {\sin \theta + 3} \right)} \over {2\sin \theta + 1}}$

Solution

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