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in Mathematics by (95.0k points)
The integral `int_(1)^(e){(x/e)^(2x)-(e/x)^(x)}log_(e)` xdx 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))`

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