Paul's Online Math Notes
[Notes]
Calculus I - Practice 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 & 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

[Notes]

 © 2003 - 2017 Paul Dawkins