Question

Find the area bounded by curves $y=|{\log }_e|x||$ and $y=0.$

Answer 1

The graph is shown is the picture.

now area bounded by the curve is

$A={\int }_{-1}^1|\ln |x||$

if we see carefully

$A=2A_1$

and $A_1=-{\int }_0^1\ln X$

$A_1=-(x\ln x-x)$

on putting lower and upper limit

$A_1=1$

hence $A=2\times 1$

$A=2$