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Integrate the following functions (x e^x...

Integrate the following functions `(x e^x)/(1+x)^2`

Text Solution

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`int (x e^x)/(1+x^2) dx`
=`int e^x((x+1-1)/(1+x)^2) dx`
=`int e^x (1/(1+x) - 1/(1+x)^2) dx`
=`e^x/(1+x) +c`, Here f(x) = 1/(1+x)
`f^.(x) = -1/(1+x)^2`
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