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  • Explain solution RD Sharma class 12 Chapter 19 Definite Integrals Exercise Revision Exercise question 69

Explain solution RD Sharma class 12 Chapter 19 Definite Integrals Exercise Revision Exercise question 69

Answers (1)

Answer: 12

Hint: To solve the given statement we have to integrate them individually

Given:  \int_{0}^{3}\left(x^{2}+1\right) d x

Solution:

\begin{aligned} &=\int_{0}^{3} x^{2} d x+\int_{0}^{3} 1 d x \\ &=\left[\frac{x^{3}}{3}\right]_{0}^{3}+[x]_{0}^{3} \\ &=\left[\frac{27}{3}-\frac{0}{3}\right]+[3-0] \\ &=9+3 \\ &=12 \end{aligned}      

 

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