Question

How do I integrate x(e^-x/2) dx

Answer 1

?? Is it \(x^{2}\;or\;\dfrac{x}{2}\)?

Answer 2

e to the -x/2 power

Answer 3

use integration by parts

Answer 4

\[\large \int\limits xe^{-x/2}\;dx\]

Answer 5

when I use by parts it comes down to \[\frac{e ^{-x/2} x^2 }{ 2} + \frac{ 1 }{ 4 } \int\limits x^2 e ^{-x/2} dx\]

Answer 6

switch your u and v

Answer 7

got it thank you (: