Q. The area of the figure bounded by the curves $y=\ell \text{nx} \& y =\left(\text{\ell nx}\right)^2$ is -

Application of Integrals Report Error

A

$e+1$

B

$e-1$

C

$3-e$

D

$ 1$

Solution:

$A=\int\limits_1^e\left(\ell n x-\ell n ^2 x \right) dx$
on solving it by parts we get
$A=\left.3 x(\ell \text{nx}-1)\right|_1 ^e-\left.x\left(\ell n^2 x\right)\right|_1 ^e=3-e$

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