Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Definite Integration

Question:

The value of $\int\limits_0^3|2 x-6| dx$ is:

Options:

$-\frac{9}{4}$

$\frac{19}{2}$

9

-3

Correct Answer:

9

Explanation:

The correct answer is Option (3) → 9

$\int\limits_0^3|x-3|dx$

since from 0 → 3, x ⇒ 3

$⇒I=2\int\limits_0^33-xdx$

$=2\left[3x-\frac{x^2}{2}\right]_0^3$ ⇒ 9 units