Q. $\int_{- 1}^{1}{|1 - x|}dx$ is equal to
A) $- 2$
B) 0
C) 2
D) 4
Explanation
(c)
Let $I = \int_{- 1}^{1}{|1 - x|dx = \int_{- 1}^{1}{(1 - x)dx}}$
$= \left\lbrack x - \frac{x^{2}}{2} \right\rbrack_{- 1}^{1} = 2$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.