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If underset0 overset1 int e^t/(1+t)dt=a,...

If `underset0 overset1 int e^t/(1+t)dt=a`, then `underset0 overset1 int(e^t)/(1+t)^2dt` is equal to

A

`a-1+e/2`

B

`a+1-e/2`

C

`a-1-e/2`

D

`a+1+e/2`

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