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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)

best_answer

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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