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  • Need solution for RD Sharma Maths Class 12 Chapter 19 Definite Integrals Excercise Revision Exercise Question 63

Need solution for RD Sharma Maths Class 12 Chapter 19 Definite Integrals Excercise Revision Exercise Question 63

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Answer:  \frac{57}{2}

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

Given:  \int_{1}^{4}\left(x^{2}+x\right) d x

Solution:   \int_{1}^{4}\left(x^{2}+x\right) d x

\begin{aligned} &=\int_{1}^{4} x^{2} d x+\int_{1}^{4} x d x \\ & \end{aligned}

=\left[\frac{x^{3}}{3}\right]_{1}^{4}+\left[\frac{x^{2}}{2}\right]_{1}^{4} \\

=\frac{64-1}{3}+\frac{16-1}{2} \\

=\frac{63}{3}+\frac{15}{2} \\

=\frac{42+15}{2} \\

=\frac{57}{2}

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