Integrate : $ \int \limits_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \large\frac{\log (5 - \theta \sin \theta)}{\log (5+\theta \sin \theta)}$$d \theta$

Question

\[\begin {array} {1 1} (a)\;0 \\ (b)\;1 \\ (c)\;2 \\ (d)\;None \end {array}\]