Larson_Calculus_10e ch14sec01
MULTIPLE CHOICE
1. Evaluate the following integral.
a.
b.
c.
d.
e.
2. Evaluate the following integral.
a.
b.
c.
d.
e.
3. Evaluate the following integral.
a.
b.
c.
d.
e.
4. Evaluate the following iterated integral.
a.
41.5
b.
38.5
c.
34.5
d.
33.5
e.
37.5
5. Evaluate the following iterated integral.
a.
b.
c.
d.
e.
6. Evaluate the following iterated integral.
a.
5,901
b.
5,931
c.
5,955
d.
5,970
e.
6,017
7. Evaluate the following iterated integral.
a.
b.
c.
d.
e.
8. Evaluate the following improper integral.
a.
b.
c.
d.
e.
The integral does not converge.
9. Evaluate the improper iterated integral .
a.
b.
c.
d.
e.
10. Use an iterated integral to find the area of the region shown in the figure below.
a.
b.
c.
d.
e.
11. Use an iterated integral to find the area of the region bounded by
.
a.
b.
c.
d.
e.
The integral is improper and does not converge.
12. Use an iterated integral to find the area of the region bounded by
.
a.
b.
c.
d.
e.
13. Use an iterated integral to find the area of the region bounded by the graphs of the equations
and .
a.
b.
c.
d.
e.
14. Sketch the region R of integration and then switch the order of integration for the following integral.
a.
b.
c.
d.
e.
15. The area of a region R is given by the iterated integral . Switch the order of integration
and show that both orders yield the same area. What is this area?
a.
b.
c.
d.
e.
16. The area of a region R is given by the iterated integrals . Switch the order
of integration and show that both orders yield the same area. What is this area?
a.
32
b.
1025
c.
64
d.
771
e.
63
17. The area of a region R is given by the iterated integral . Switch the order of integration and
show that both orders yield the same area. What is this area?
a.
65
b.
16
c.
21
d.
8
e.
4
18. Evaluate the iterated integral below. Note that it is necessary to switch the order of integration.
a.
b.
c.
d.
e.
19. Evaluate the iterated integral by switching the order of integration. Round your
answer to three decimal places.
a.
0.538
b.
0.558
c.
30.538
d.
1.538
e.
4.538