The integral int(1)^(e){((x)/(e))^(2x)-...

The integral `int_(1)^(e){((x)/(e))^(2x)-((e)/(x))^(x)} "log"_(e)x` dx is equal to

A

`3/2 - 1/e - 1/(2e^2)`

B

`3/2 - e - 1/(2e^2)`

C

`1/2 - e 1/e^2`

D

`-1/2 + 1/e - 1/(2e^2)`

Verified by Experts

The correct Answer is:

B

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