Q. The value of$\int_{- 1}^{1}{x|x|}dx\ is$
A) 2
B) 1
C) 0
D) None of these
Explanation
(c)
Let $f(x) = x|x|$
$f( - x) = - x|x|$
$= - f(x)$
$\therefore f(x)$ is an odd function
Hence, $I = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.