NAME:
Math 106 - Quiz 1 - September 13, 2006
Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and
books are not.
1. (10 pts.) Calculate the following:
(a) Zx2p4x3+ 5 dx
(b) Z2
0
x
(1 + x2)3dx
2. (10 pts.) Let I=Z1
0
f(x)dx, where the function fhas the values shown in the table:
x0 0.25 0.50 0.75 1.00
f(x) 1 1.2 1.6 2.4 3.6
(a) Calculate L4.
(b) Suppose we know that f(x) is increasing on the interval [0,1]. How does L4compare to I?
Illustrate with a picture.