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The area bounded by the curves y=lnx, y=...

The area bounded by the curves y=lnx, y=ln|x|, y=|lnx| and y=|ln|x|| is

A

5

B

2

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Let A denote the required area. Then,

A=Area of the shaded region
A=2 (Area in the first quadrant)
`A=2underset(0)overset(1)(int)|lnx|dy=-2underset(0)overset(1)(int)=-2[1(0-1)-0]=2` sq. units
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