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Please Solve RD Sharma Class 12 Chapter 19 Definite Integrals Exercise Revision Exercise Question 66 Maths Textbook Solution.

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Answer:  \frac{112}{3}

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

Given: \int_{1}^{3}\left(2 x^{2}+5 x\right) d x


\begin{aligned} &\int_{1}^{3} 2 x^{2} d x+\int_{1}^{3} 5 x d x \\ &=2\left[\frac{x^{3}}{3}\right]_{1}^{3}+5\left[\frac{x^{2}}{2}\right]^{3} \\ & \end{aligned}

=2\left[\frac{27-1}{3}\right]+5\left[\frac{9-1}{2}\right] \\

=2\left[\frac{26}{3}\right]+5\left[\frac{8}{2}\right] \\

=\frac{52}{3}+20 \\

=\frac{52+60}{3} \\


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