Question

Area enclosed by the curves $y=\ell nx;y=\ell n|x|;y=|\ell nx|$ and $|\ell n|x||$ is equal to-

• A. $2$
• B. $4$
• C. $8$
• D. cannot be defined

Answer 1

The correct option is A $2$

Graph of $y=if\left(x\right)1$ can be obtained from the graph of the curve $y=f\left(x\right)$ by drawing the mirror the image of the portion of the graph below x-axis , w.r.t x-axis clearly the bounded area is shown in the following figure.

Required area $=4{\int }_1^{0}L-(-inx)dx$

$=-4(xinx-x{)}_0^1=4$ sq.nunit