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AMS 161
Final Exam
Prof. Tucker
Spring 2007
1. Do
three
of the following problems:
a)
0
±
±
[3x + sin(4
x
)]
dx
, c)
±
x
2
sin(2
x
3
)
e
cos2
x
3
dx,
c)
±
2
x
/(
x
4)
dx
, d)
±
(x + 3)sqrt(x – 2)
dx
,
2. Do
two
of the following problems:
a)
±
x e
2x
dx
,
b)
±
x
2
ln(2
x
) dx ,
c)
±
x
7
sin(3
x
4
)
dx
3. Evaluate
two
of the following (explain answers):
a)
0
±
3
1/(
x
+1)
2
dx
,
b)
0
±
oo
t
5
e
t
6
dt
,
c)
1
±
oo
1/(x2)
3/2
dx
.
4. Consider the integral from 0 to 2 of the function sketched at the right.
List the values in INCREASING ORDER of the integral estimates given
by the LH = LeftHand Rule, RH = RightHand Rule, MP = MidPoint Rule,
and TP =Trapezoidal Rule in increasing order.
Also indicate the position in
this ordering of the true integral.
5. Do
one
of the following problems (JUST SET UP THE INTEGRAL):
a) Set up an integral for the volume of revolution around the
y
axis (NOT
x
axis) of
y
= 2
x
4
from
y
=0 to
y
=2.
b) Set up an integral for the volume resulting from revolving the area between the curves y = 2
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This note was uploaded on 06/29/2008 for the course AMS 161 taught by Professor Tucker during the Spring '08 term at SUNY Stony Brook.
 Spring '08
 Tucker

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