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intsqrt((e^x+1)/(e^x-1))dx...

`intsqrt((e^x+1)/(e^x-1))dx`

A

`ln (e^(x)+sqrt(e^(2x)-1))-sec^(-1)(e^(x))`+C

B

`ln(e^(x)+sqrt(e^(2x)-1)+sec^(-1)(e^(x))+C`

C

`ln (e^(x)-sqrt(e^(2x)-1)-sec^(-1)(e^(x))`+C

D

`ln(e^(x)+sqrt(e^(2x)-1)-sin^(-1)(e^(x))+C`

Text Solution

Verified by Experts

The correct Answer is:
A
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