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  • Please Solve RD Sharma Class 12 Chapter 19 Definite Integrals Exercise Revision Exercise Question 30 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 19 Definite Integrals Exercise Revision Exercise Question 30 Maths Textbook Solution.

Answers (1)

Answer:  2

Given:   \int_{1}^{2}\left|x^{2}-2 x\right| d x

Hint: Open the mode and then do integration by parts

Solution:

\int_{1}^{2}\left|x^{2}-2 x\right| d x

\begin{aligned} &=\int_{1}^{2}-\left(x^{2}-2 x\right) d x+\int_{2}^{3}\left(x^{2}-2 x\right) d x \\ & \end{aligned}

=\left(\frac{-x^{3}}{3}+x^{2}\right)_{1}^{2}+\left(\frac{x^{3}}{3}-x^{2}\right)_{2}^{3}

\begin{aligned} &=\frac{-8}{3}+4+\frac{1}{3}-1+9-9-\frac{8}{3}+4 \\ & \end{aligned}

=7-\frac{15}{3} \\

=\frac{21-15}{3} \\

=\frac{6}{3}

= 2

Posted by

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