Q. $\int_{- 1}^{2}{\sin^{3}{x\ |x|\ dx}}$ is equal to
A) 0
B) 1
C) 4
D) None of these
Explanation
(a)
$f(x) = |x|\sin^{3}x$ is an odd function
$\therefore\ \int_{- 2}^{2}{|x|\sin^{3}{x\ dx = 0}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.