Calculus/Integration/Exercises

← Integration techniques/Numerical Approximations Calculus Area →
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.  
 
 

Solutions

Integration by SubstitutionEdit

Find the anti-derivative or compute the integral depending on whether the integral is indefinite or definite.

13.  
 
 
14.  .
 
 
15.  .
 
 
16.  .
 
 
17.  .
 
 
18.  .
 
 
19.  .
 
 
20.  .
 
 
21.  .
 
 

Solutions

Integration by partsEdit

30. 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

Integration by Trigonometric SubstitutionEdit

40.  
 
 

Solutions

← Integration techniques/Numerical Approximations Calculus Area →
Integration/Exercises