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Calculus II                                                          Quiz #2                                             February 24, 2004

Name____________________                   R.  Hammack                                                 Score ______
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(1)

(2)  Write the definite integral      as a limit of Riemann sums. (Just write the limit - don't try to find its value.)

OR

Although either expression would count as a correct answer, further simplification is possible. If we set   , and choose as sample points the values , then the first expression simplifies as

(3) Find the value of the following definite integral by analyzing area under the graph.

5

Because the area under the graph between -1 and 2 consists of 2 triangles,
one of area (1/2)(2)(4) =4, and the other of area (1/2)(1)(2) =1.
The total area is thus 5.