Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

$\int\limits_2^3|2x-1|dx$ =

Options:

4

5

6

8

Correct Answer:

4

Explanation:

$I=\int\limits_2^3|2x-1|dx$    for $x≥\frac{1}{2}|2x-1|=2x-1$

$=\int\limits_2^3 2x-1dx$   from 2 → 3 $|2x-1|=2x-1$

$=[x^2-x]_2^3=3^2-3-2^2+2$

$=9-3-4+2$

$=11-7=4$