NOTE : Graph of y=|f(x)| can be obtained from the graph of the curve y=f(x) by drawing the mirror image of the portion of the graph below x-axis, with respect to x-axis. Clearly the bounded area is as shown in the following figure.
Required area =4‌
1
∫
0
(−ln‌x)‌dx =−4[x‌ln‌x+−x01]=4 sq. units
