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MA 2005 A-95 Sample Exam 1 Name here

Show your work in the space provided. Unsupported answers may not receive full credit. Use the backs of the pages if needed. (In the real exam, there will be plenty of space for your work.)

  1. Evaluate the following integrals.
    1. Answer: Use substition with .

    2. Answer:

    3. Answer:

    4. Answer: Use , then .

    5. Answer:

  2. Evaluate the following definite integral.

    Answer:

  3. Use integration by parts to evaluate the following integrals.
    1. Answer:

    2. Answer:

  4. Use the method of partial fractions to evaluate the following integrals.

    1. Answer:

    2. Answer:

  5. Evaluate the following double integrals.
    1. Answer: 0

    2. Answer: 2

  6. Set up and evaluate a double integral that gives the volume of the region bounded below by the rectangle and and above by the graph of .

    Answer:





William W. Farr
Fri Sep 1 13:31:52 EDT 1995