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Integrate (xe^(x))/((1+x)^(2)) with resp...

Integrate `(xe^(x))/((1+x)^(2))` with respect to x.

A

`(x^3 - x^2 +x+1)e^x/((1 + x^2)^2)`

B

`((x^2 + x + 1)e^x)/((1 + x^2)^2)`

C

`((x^3 + x^2 -x -1)e^x)/((1 + x^2)^2)`

D

`((x^3 +2x^2 - 3x + 1)e^x)/((1 + x^2)^2)`

Text Solution

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The correct Answer is:
A
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