quiz2.nb

Calculus II	Quiz #2	February 22, 2002
Name____________________	R. Hammack	Score ______

(1) Find the following definite integrals by analyzing the graph of the integrand. Be sure to include a sketch of the graph and indicate how it gives your answer.

(a) 13/2

(Because the region under the graph consists of two triangles, one with base and height 2, and the other with base and height 3.)

(b) =

(One half the area of a circle of radius 3.)

(c) 0

(Because area below x-axis cancels area above x-axis.)

(2) The expression

represents a definite integral over the interval [3, 5]. Write the definite integral. (You do not need to find its value.) ANSWER:

(3) Suppose f is a function for which

= 5 and

= 9.
One of the definite integral properties says

, and this gives

Therefore:
(a)

5-9 = -4
(b)

(-4)(-4) = 16

(4) Find

and

= 5+2(-3) = -1