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

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

Answers (1)

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

Solution:

\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} \\

=\frac{112}{3}

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