CUET · MATHS · PYQ PAPER 2023
The area bounded by the curve \(y=x^2\) between \(x=0\) and \(x=\pi\), in the first quadrant is :
- A \(0\)
- B \(\frac{\pi^3}{3}\)
- C 2
- D \(\frac{4 \pi^3}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{\pi^3}{3}\)
Step-by-step Solution
Detailed explanation
\(A = \int_{0}^{\pi} x^2 \,dx\) \(A = \left[\frac{x^3}{3}\right]_{0}^{\pi}\) \(A = \frac{\pi^3}{3} - \frac{0^3}{3}\) \(A = \frac{\pi^3}{3}\)
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