CUET · MATHS · PYQ PAPER 2023
\(\int_0^2\left(x^2+1\right) d x\) is equal to
- A \(\frac{14}{3}\)
- B 4
- C 10
- D 8
Answer & Solution
Correct Answer
(A) \(\frac{14}{3}\)
Step-by-step Solution
Detailed explanation
\(\int_0^2\left(x^2+1\right) d x = \left[\frac{x^3}{3}+x\right]_0^2\) \(= \left(\frac{2^3}{3}+2\right) - \left(\frac{0^3}{3}+0\right)\) \(= \left(\frac{8}{3}+2\right) - 0\) \(= \frac{8}{3}+\frac{6}{3} = \frac{14}{3}\)
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