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

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

 

For problems 1 & 2 use the definition of the definite integral to evaluate the integral.  Use the right end point of each interval for .

 

1.  [Solution]

 

2.  [Solution]

 

3. Evaluate :  [Solution]

 

For problems 4 & 5 determine the value of the given integral given that  and  .

 

4.   [Solution]

 

5.  [Solution]

 

6. Determine the value of  given that  and . [Solution]

 

7. Determine the value of  given that ,  and . [Solution]

 

For problems 8 & 9 sketch the graph of the integrand and use the area interpretation of the definite integral to determine the value of the integral.

 

8.  [Solution]

 

9.  [Solution]

 

For problems 10  12 differentiate each of the following integrals with respect to x.

 

10.  [Solution]

 

11.  [Solution]

 

12.  [Solution]

 

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

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

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