Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Definite Integration

Question:

Evaluate: $\int\limits_{1}^{3} |2x - 1| \, dx$

Options:

4

6

8

10

Correct Answer:

6

Explanation:

The correct answer is Option (2) → 6

$\int\limits_{1}^{3} |2x - 1| \, dx$

$= \int\limits_{1}^{3} (2x - 1) \, dx$

$= [x^2 - x]_{1}^{3}$

$= 9 - 3 - 1 - 1$

$= 6$