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Course: Calculus II
Topic: Integration Techniques
Subtopic: Integration by Parts

Overview

Integration by parts is an integration technique used to integrate products. Essentially it reduces the product rule of differentiation. For instance the derivative of `xe^x` is `e^x(x+1)`. Integration by parts enables us to find `int e^x(x+1) dx` to get back to the `xe^x`. This technique is one of the most useful in the course!

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Terms you should be able to define: "by parts"

Mini-Lectures and Examples

STUDY: Integration Techniques - By Parts

Supplemental Resources (recommended)

Integ. by Parts "LIATE" method: David Lippman, creator of WAMAP, has a video on the LIATE method of choosing u and dv in Integration By Parts that you might find useful: Integration by parts - choosing u and dv

Supplemental Resources (optional)

Lesson: Finding Antiderivatives - A Review, Dale Hoffman's Contemporary Calculus provides a review of finding basic antiderivaties. Worth skimming before starting more complicated techniques of integration.

Lesson: Integration by Parts, Dale Hoffman's Contemporary Calculus

Video: Integration by Parts, Selwyn Hollis's Video Calculus

rev. 2021-01-30