QJEEM11Ma0fa1: JEE Main 2011 Mathematics - Class 12 JEEM11Ma0fa1 Solution: The area of the region enclosed by the curves y = x , x = e , y …

Question

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The area of the region enclosed by the curves

y = x, x = e, y = \frac{1}{x}

and the positive

x

-axis is :

Accepted Answer

Area of required region

A O C B

= \int_{0}^{1} x d x + \int_{1}^{e} \frac{1}{x} d x = \frac{1}{2} + 1 = \frac{3}{2}

sq. units

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