Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

The value of the integral $I=\int\limits_{-3}^3|x| d x$ is:

Options:

18

0

9

-9

Correct Answer:

9

Explanation:

The correct answer is Option (3) → 9

$I=\int\limits_{-3}^3|x| d x=2×\int\limits_0^3x\,dx$

$=2×\left[\frac{x^2}{2}\right]_0^3=9$