CUET Preparation Today
CUET
-- Mathematics - Section A
Indefinite Integration
The value of the integral
$I=\int\limits^{1}_{-1}|x|dx$ is :
0
1
$\frac{1}{2}$
2
The correct answer is Option (2) → 1
$I=\int\limits^{1}_{-1}|x|dx=2\int\limits^{1}_{0}xdx$ |x| → even function
$=2×\left[\frac{x^2}{2}\right]^{1}_{0}$
= 1 sq. unit