Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Application of Integrals

Question:

The area bounded by the curve $y=x^2$ between $x=0$ and $x = \pi $, in the first quadrant is :

Options:

0

$\pi^3/3$

2

$4\pi^3/3$

Correct Answer:

$\pi^3/3$

Explanation:

The correct answer is Option (2) → $\pi^3/3$

area = $\int\limits_0^{\pi}x^2dx$

$=\left[\frac{x^3}{3}\right]_0^{\pi}$

$=\frac{\pi^3}{3}$