What is the integral of xe^-x?

  1. I feel really dumb for not remembering this.... I'm drawing a total blank as to the antiderivative of xe-x or how to find it. Do I need to use a u substitution?
  2. jcsd
  3. quasar987

    quasar987 4,773
    Science Advisor
    Homework Helper
    Gold Member

    Try integration by parts.
  4. HallsofIvy

    HallsofIvy 41,074
    Staff Emeritus
    Science Advisor

    Let u= x, dv= e-xdx.
  5. You can also compute the intergal of exp(-a x) and then differentiate w.r.t. the parameter a.
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