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Find the area enclosed between the curve...

Find the area enclosed between the curves: `y = log_e (x + e) , x = log_e (1/y)` & the x-axis.

A

2e

B

2

C

2/e

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

`y=log (x+e)`
`y=e^(-x)`
Required area `= int_(1-e)^(0)log(x+e)dx + int_(0)^(oo)e^(-x)dx = 2`
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