Math 132 Test 3 Carter Name______________________
Show all work in order to receive credit. Calculator-free 3/19/08
You may omit one problem – in which case each problem is worth 10 points. If you work all 11 problems, each
is worth 9 points & you will have a 5 point bonus.
1-7. Evaluate the integrals.
1.
3 2
cos 5 sin 5x x dx
2.
4 1
5 3
xdx
x x
3.
2
16 x dx
4.
2
24
xdx
x
5.
3
2
4
2 1
x x dx
x x
6.
2
2 6
1
xdx
x x
7.
2
tan sec secx x x dx
8. Set up the form for the partial fraction decomposition. You do not need to find the constants.
3
3 2 2
4 2 7
( 4)( 2 1)
x x
x x x x
9-11. Determine whether the following integrals converge or diverge. If an integral converges, find its value.
9.
4
0
x
dx
10.
4
2
0( 1)
dx
x
11.
0
x
xe dx