JEE Main & Advanced
Mathematics
Definite Integration
Question Bank
Self Evaluation Test - Application of Integrals
question_answer
The area bounded by the curves y = ln x, y = ln \[\left| x \right|,y=\left| ln\text{ }x \right|\] and \[,y=\left| ln\text{ }\left| x \right| \right|\] is
A)4 sq. units
B)6 sq. units
C)10 sq. units
D)None of these
Correct Answer:
A
Solution :
[a] First we draw each curve as separate graph Clearly the bounded area is as shown in the following figure. Required area \[=4\int\limits_{0}^{1}{(-\ell nx)dx}\] \[=-4\,[x\ell n\,x-x]_{0}^{1}=4\] sq. units