AIEEE 2002 Math Solved Paper

First we draw each curve as separate graphNOTE : 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