7.1 Integration By Parts/4

$\int (xe^{-x})dx$

$u=x\qquad dv=e^{-x}$

$du=dx\qquad v=-e^{-x}$

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \int (xe^{-x}) dx = x(-e^{-x}) - \int (-e^{-x}) = -xe^{-x}-\int (-e^{-x})dx}

<math>-xe^{-x}+\int (xe^{-x})dx = <\math>