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Integrate x/e^x
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race, race!
parts parts parts
Ok, so u= x and dv= 1/e^x?
http://upload.wikimedia.org/wikipedia/en/math/c/c/c/cccba9a4deecf8ed353b9a519eed0429.png put f = x
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Int by parts \[\text{}=\int\limits e^{-x} \, dx-e^{-x} x\] \[=-e^{-x} x-e^{-x}+c\] \[=-e^{-x} (x+1)+c\]
\[\int xe^{-x}dx\] \[u = x, du = 1, dv =e^{-x}, v =-e^{-x}\]
even without wolfram for this one
-xe^-x+e^-x...final answer
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