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Prove thatint0^1x e^x dx=1...

Prove that`int_0^1x e^x dx=1`

Text Solution

Verified by Experts

`I=[xe^x-int(1.e^xdx)]`
`=[xe^x-e^x]`
for the range 0 to 1
`I=[1e^1-e^1]-[0e^0-e^0]`
`I=0-(0-1)`
`I=1`
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