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int(0)^(1)e^(2x)e^(e^(x) dx =)...

`int_(0)^(1)e^(2x)e^(e^(x) ` dx =)

A

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

B

`e^(e)(e-1)`

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`I=int_(0)^(1)e^(2x)e^(e^(x))dx`
Let `e^(x)=1`
`rArr" "I=int_(0)^(e)te^(t)dt=(te^(t)-e^(t))_(1)^(e)=e^(e)(e-1)`
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