Integration by Parts

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Taught by Houston
  • Currently 3.0/5 Stars.
5222 views | 3 ratings
Meets NCTM Standards:
Lesson Description:

Integration by parts. Derivation of reduction formulas.

Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at

Questions answered by this video:
  • What is integration by parts?
  • How do you do integration by parts?
  • What is the integral of u dv?
  • Why does the integral of u dv = uv - integral of v du?
  • What is the integral of x cos x?
  • How do you find an integral without ever taking an integral?
  • How do you use integration by parts of a definite integral?
  • What are reduction formulas?
  • What is the integral of x^n cos(kx)?
  • What is the integral of (cos x)^n?
  • Staff Review

    • Currently 4.0/5 Stars.
    This video does a very thorough job of explaining integration by parts. It explains where the formula comes from and shows many example problems using this formula, including how to pick u and dv so it works. There are also reduction formulas that use integration by parts to make certain problems with high powers of x much easier and faster. An incredibly useful technique vital to integration in Calculus.