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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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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