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  • Please solve RD Sharma class 12 chapter Areas of Bounded Region exercise 20.1 question 17 maths textbook solution

Please solve RD Sharma class 12 chapter Areas of Bounded Region exercise 20.1 question 17 maths textbook solution

Answers (1)

Answer:

\frac{9}{2}\; s q \cdot unit

Hint:

Break the limit and find the value of integral.

\int_{0}^{1}-(x-5) d x

Given:

Sketch the graph y=\left | x-5 \right |

Evaluate\int_{0}^{1}|x-5| d x. What the value of integral represents on graph

Solution:

\begin{aligned} &\int_{0}^{1}|x-5| d x=\int_{0}^{1}-(x-5) d x \\\\ &=\left[\frac{-x^{2}}{2}+5 x\right]_{0}^{1} \\\\ &=\left[\frac{-1}{2}+5\right] \end{aligned}

=\frac{9}{2}\; s q \cdot unit                            \left[\because \int_{a}^{b} x^{n} d x=\left[\frac{x^{n+1}}{n+1}\right]_{a}^{b}\right]

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