Q. The value of $\int_{- \pi/4}^{\pi/4}{x^{3}\sin{\ ^{4}x\ dx},\ }$ is equal to
A) $\frac{\pi}{4}$
B) $\frac{\pi}{2}$
C) $\frac{\pi}{8}$
D) 0
Explanation
(d)
Let $I = \int_{- \pi/4}^{\pi/4}{x^{3}\sin^{4}{x\ dx}}$
Since, $x^{3}\sin^{4}x$ is an odd function.
$\therefore I = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.