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Evaluate : int(xe^x dx)/((x+1)^2...

Evaluate :
`int(xe^x dx)/((x+1)^2`

Text Solution

Verified by Experts

`int e^(x) (x)/((x+1)^(2))dx=int e^(x) (x+1-1)/((x+1)^(2))dx`
`=int e^(x)((1)/(x+1)- (1)/((x+1)^(2)))dx`
`=int e^(x){(1)/(x+1)+ ((1)/(x+1))^(')}dx`
`=(1)/(x+1)e^(x)+c`
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