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If int(xe^(x))/(sqrt(1+e^(x)))dx=f(x)sqr...

If `int(xe^(x))/(sqrt(1+e^(x)))dx=f(x)sqrt(1+e^(x))-2log|g(x)|+c`, then-

A

f(x)=x+1

B

`f(x)=2(x-2)`

C

`g(x)=(sqrt(1+e^(x))-1)/(sqrt(1+e^(x))+1)`

D

`g(x)=(sqrt(1+e^(x))+1)/(sqrt(1+e^(x))-1)`

Text Solution

Verified by Experts

The correct Answer is:
A,C
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