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If int(e^(4x)-1)/(e^(2x))log((e^(2x+1))/...

If `int(e^(4x)-1)/(e^(2x))log((e^(2x+1))/(e^(2x-1)))dx=(u^2/2logu-u^2/4)-(v^2/2logv-v^2/4) ` then

A

`u=v=e^(x)+e^(-x)`

B

`u=e^(x)-e^(-x) , v = e^(x) + e^(-x)`

C

`u= e^(x)+ e^(-x) , v = e^(x) - e^(-x)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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