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The area of the region enclosed by the c...

The area of the region enclosed by the curves `y=x, x=e, y=1/x` and the positive x-axis is (A) `3/2` sq. units (B) `5/2` sq. units (C) `1/2` sq. units (D) `1` sq. units

A

`(5)/(2)` square units

B

`(1)/(2)` square units

C

1 square units

D

`(3)/(2)` square units

Text Solution

Verified by Experts


Required area = Area of `DeltaAOB` + Area of region ADCB
`=(1)/(2)xx1xx1+overset(e)underset(1)int(1)/(x)dx`
`=(1)/(2)+["In "x]_(1)^(e)`
`=(1)/(2)+1-0=(3)/(2)` sq. units
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