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Q. The area (in sq. units) bounded by the curve $\left|\right.y\left|\right.=\left|ln \left|x\right|\right|$ and the coordinate axes is

NTA AbhyasNTA Abhyas 2022

Solution:

Curve $\left|y\right|=\left|ln \left|x\right|\right|$ is
Solution
Required Area $=4\times \left|\right.\int \limits_{0}^{1} \left(\right. ln x \left.\right)\left|\right.dx$
$=4\times \left|x ln x - x\right|_{0}^{1}$
$=4\left(\left|- 1\right|\right)=4$ sq. units