Calculus/Integration/Exercises

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Integration/Exercises

Integration of PolynomialsEdit

Evaluate the following:

1.  
 
 
2.  
 
 
3.  
 
 
4.  
 
 
5.  
 
 

Solutions

Indefinite IntegrationEdit

Find the general antiderivative of the following:

6.  
 
 
7.  
 
 
8.  
 
 
9.  
 
 
10.  
 
 
11.  
 
 
12.  
 
 
13.  
 
 

Solutions

Integration by partsEdit

14. Consider the integral   . Find the integral in two different ways. (a) Integrate by parts with   and   . (b) Integrate by parts with   and   . Compare your answers. Are they the same?
a.  
b.  
a.  
b.  

Solutions

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Integration/Exercises