Lec 2 - Integration by Parts

CH 7

 

1.  Understanding the methods.
2. Which method should I use?

 

In Lec 1:

FTC Part 2





 

Method 1: Substitution (Math 137)

 Method 2: Integration by parts (Lec 2)

 

Recall the Product rule to compute derivatives.



 





 

Integrate the equation





 

 Integration by Parts





 

For the definite integral



 

Example



 





 





 

 

Example



 



 

 







 

 

Example



 

 



 





(substitution.)

 





 

Example



 

 



 

 



 



 

 

 Integrals of symmetric functions

 

1. 
2.