Q. The value of the integral $\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \frac{x+\frac{\pi}{4}}{2-\cos 2x}dx$ is :
A) $\frac{\pi^2}{6}$
B) $\frac{\pi^2}{12\sqrt{3}}$
C) $\frac{\pi^2}{3\sqrt{3}}$
D) $\frac{\pi^2}{6\sqrt{3}}$
Explanation
The correct answer is Option D: $\frac{\pi^2}{6\sqrt{3}}$.
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.