Math 103. Homework 11. Due 5/15/02

1. Find the indefinite integral


ó
õ
(x1/3 -Öx +4) dx

2. Find the indefinite integral


ó
õ
x-1
(x2-2x+5)1/2
dx

3. Find the indefinite integral


ó
õ
(lnx)5
x
dx

4. [56, p. 464] The number of viewers of a weekly TV news-magazine show, introduced in the 1995 season, has been increasing at a rate of


3 æ
ç
è
2+ 1
2
t ö
÷
ø
-1/3

 
       (1 £ t £ 6)
million viewers/year in its t th year on the air. The number of viewers of the program during its first year on the air was 9(5/2)2/3 million. Find how many viewers were expected in the 2000 season.

5. Find the area of the region under the curve y=e2x from x=0 to x=2.