Q. If $\int_0^{\pi}\frac{5^{\cos x}\left(1+\cos x\cos 3x+\cos^2x+\cos^3x\cos 3x\right)dx}{1+5^{\cos x}}=\frac{k\pi}{16}$, then $k$ is equal to _____ .
Numerical Question
This is a numerical-answer question. The correct answer is shown below.
Explanation
The correct numerical answer is 13.
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.