Section 8.1 Worksheet:

Assigned problems: Exercises pp. 508-509 #2, 3, 5, 7, 10, 12, 15, 23, 24, 30, 32, 48 (due Thursday, 1/22).

1. Integration by parts is the integration rule corresponding to which differentiation rule?

2. According to the Note on page 504, what is the aim of integration by parts?

3. The technique of integration by parts requires the identification of two functions. What are those two functions for the case of the integral

   

   from Example 2? Why do we have a hard time spotting the second function?

4. Integration by parts may need to be carried out multiple times. Find an example from the section for which this is so.