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Calculus I (Assignment Problems) / Integrals / Definition of the Definite Integral   [Notes] [Practice Problems] [Assignment Problems]

Calculus I - Assignment Problems
Applications of Derivatives Previous Chapter   Next Chapter Applications of Integrals
Area Problem Previous Section   Next Section Computing Definite Integrals

 The Definition of the Definite Integral

 

For problems 1  4 use the definition of the definite integral to evaluate the integral.  Use the right end point of each interval for .

 

1.  

 

2.  

 

3.  

 

4.  

 

5. Evaluate :  

 

For problems 6  8 determine the value of the given integral given that  and  .

 

6.   

 

7.  

 

8.  

 

9. Determine the value of  given that  and .

 

10. Determine the value of  given that  and .

 

11. Determine the value of  given that ,  and .

 

12.  Determine the value of  given that ,  and .

 

For problems 13  17 sketch the graph of the integrand and use the area interpretation of the definite integral to determine the value of the integral.

 

13.  

 

14.  

 

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For problems 18  23 differentiate each of the following integrals with respect to x.

 

18.  

 

19.  

 

20.  

 

21.  

 

22.  

 

23.  

 

Area Problem Previous Section   Next Section Computing Definite Integrals
Applications of Derivatives Previous Chapter   Next Chapter Applications of Integrals

Calculus I (Assignment Problems) / Integrals / Definition of the Definite Integral    [Notes] [Practice Problems] [Assignment Problems]

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