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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.