Q. The value of the integral $\int_{0}^{\pi}{\frac{x\ dx}{1 + \cos{\alpha\sin x}}(0 < \alpha < \pi)}$ is
A) $\frac{\pi\alpha}{\sin{\alpha\ }}$
B) $\frac{\pi\alpha}{\cos\alpha}$
C) $\frac{\pi\alpha}{1 + \sin\alpha}$
D) $\frac{\pi\alpha}{1 + \cos\alpha}$
Explanation
The correct answer is Option A: $\frac{\pi\alpha}{\sin{\alpha\ }}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.