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Points on a Cartesian Plane

The area boun...

Question

The area bounded by the curve $y = {log}_{e} x$ , x-axis and ordinate $x = e$ is?

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Solution

$A = \int_{1}^{e} ln x d x$
$A = {[x ln x - x]}_{1}^{e}$
$A = (e ln e - e) - (1 ln 1 - 1)$
$A = e - e - (0 - 1)$
$A = 1$

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