### Overview

Integration by parts is useful when the integrand is the product of an “easy” function and a “hard” one. In this session we see several applications of this technique; note that we may need to apply it more than once to get the answer we need.

### Lecture Video and Notes

#### Video Excerpts

Clip 1: Introduction to Integration by Parts

### Recitation Video

#### Finding u and v’ When Integrating by Parts

### Lecture Video and Notes

#### Video Excerpts

Clip 1: Integral of Natural Log

Clip 4: Another Reduction Formula

### Recitation Video

#### Integrating sin^{n}(x) Using Reduction

### Worked Example

Integral of x^{4} cos(x)