Indefinite Integration

  • Find:

    \[\int x^{2} e^{-x} \, \mathrm{d}x\]


  • Anton, H. (1984). Calculus with Analytic Geometry (2nd ed.). New York: John Wiley & Sons. (Example 2, p. 478)
  • Burghes, D., Cassell, D., Cross, T., Deft, J., Middle, J., & Thallon, W. (1994). Pure Mathematics. Oxford, England: Heinemann Educational Books. (Activity 7(b)(ii), p. 363)
  • Spiegel, M.R. (1983). Schaum’s Outline of Theory and Problems of Advanced Mathematics for Engineers and Scientists. New York: McGraw-Hill. (Question 1.98(e), page 32)
  • Taylor, A.E. (1959). Calculus with Analytic Geometry (Volume Two). New York: Ishi Press. (Exercise 10.5, Question 1(b), p. 348) Solution: Use integration by parts.

Integration by parts

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

Leave a Reply