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  • Need solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 3

Need solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 3

Answers (1)

Answer:

 (b)

Hint:

Construct the graph 

Given:

y=logex and x - axis, the straight line x = e

Explanation:

Area bounded by the curve, x - axis and x = e

\begin{aligned} &=\int_{1}^{e}log_{e}x dx \\ &=[x.log_{e}x]_{1}^{e}-\int_{1}^{e}x.\frac{1}{x}dx \\ &=e\, log_{e}e-log_{e}1-\int_{1}^{e}dx \\ &=e(1)-0-[x]_{1}^{e} \qquad \qquad \qquad [\text { Integration by parts }]\\ &=e-[e-1] \\ &=e-e+1 \\ &=1sq.units \end{aligned}

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Gurleen Kaur

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