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Integration Examples

 

Integration by Parts

 

 

Maple Worksheet for Examples 1-11

 

Example 1--Section 8.2#24

 

 


 

 

Example 2--Section 8.2#47

 

The integral represents the area of the region pictured below.

 


 

Example 3--Section 8.2#53

The integral represents the area of the region pictured below.

 


 

Some Integrals Involving Trigonometric Functions

 

Example 4--Section 8.3#7

 

 


 

 

Example 5--Section 8.3#10

 

 


 

 

Example 6--Section 8.3#39

 

 


 

 

Example 7--Section 8.3#54

 

 


 

Trigonometric Substitution

 

Example 8

 

 


 

 

Example 9--Section 8.4#22

 

 


 

 

Example 10--Section 8.4#46

 

 


 

 

Example 11--Section 8.4#48

 

The integral represents the area of the region pictured below.

 


 

Partial Fraction Decomposition  (Maple Worksheet)    (Maple Commands--Factor, PFD)

 

Example 12

 


 

 

Example 13

 

 

 

 


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        Lane Vosbury, Mathematics, Seminole State College   email:  vosburyl@seminolestate.edu

        This page was last updated on 08/21/14          Copyright 2002          webstats