Definite Integration Question 184
Question: The area bounded by the curves y = ln x, y = ln $ | x |,y=| lnx | $ and $ ,y=| ln| x | | $ is
Options:
A) 4 sq. units
B) 6 sq. units
C) 10 sq. units
D) None of these
Show Answer
Answer:
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 nx-x]_0^{1}=4 $ sq. units
BETA
