Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

$\int\limits_0^2\left(x^2+1\right) d x$ is equal to

Options:

$\frac{14}{3}$

4

10

8

Correct Answer:

$\frac{14}{3}$

Explanation:

The correct answer is Option (1) → $\frac{14}{3}$

$\int\limits_0^2\left(x^2+1\right) d x=\left[\frac{x^3}{3}+x\right]_0^2$

$⇒\frac{8}{3}+2-0=\frac{8+6}{3}=\frac{14}{3}$