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Integration by Parts

Integration by Parts

Description:

Students should be able to evaluate definite and indefinite integrals using integration by parts.

This packet consists of five videos that introduce the concepts of integration by parts, examine some techniques to be used when integrating by parts, and walk through several examples.

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Tutorial

Prerequisites

Student should be familiar with evaluating definite and indefinite integrals using the Power Rule, Basic Formulas, and u-Substitution. Students should also be familiar with differentiation, particularly the Product Rule.

Integration by Parts - the Formula

This video develops the formula and technique for integration by parts.

Integration by Parts - LIATE

This video looks at the acronym LIATE and how it can help making good choices when applying integration by parts.

Integration by Parts - the Table Method

This video looks at a quick way of evaluating certain types of integrals that involve repeated application of integration by parts.

Integration by Parts - the Grid

This video looks at a techniques used by many to help keep the different part straight when applying integration by parts.

Integration by Parts - Examples

This video walks through five more examples of integration by parts, including a couple of the more difficult situations.

Problem Set

Evaluate the indefinite/definite integrals.

NOTE that not all require integration by parts.

1.                            Ans:     

2.                      Ans:     

3.             Ans:     

4.            Ans:      Ans:    

5.                   Ans:        

6.                   

Ans:        

7.                 Ans:       

8.        Ans: