@
yxe*du
(a)
dJ=e
(Lt U = P
Ah= d %
X
 =*
I
/
'
IBQ
8
\=
 a X + c )

*
.
/'*
X
xe
,
c'L
a = I+y
a*=
b(U
3
a
=
3
3LJ'du
9=J3
4.=o,ds ?
y c o 9K=I
h=Z
4
u.29
Winter 2008
FINAL EXAM
25 April 2008
Name _
Instructions. Show all work where it is normally expected.
1. [18] Evaluate the following.
(a)
sin t
1 cos 2 t dt
(b)
e
y
1
4
ln y dy
(c)
x 9
3x 2 x 2 dx
2. [12] Set upbut do not evaluatethe
integral(s) giving t
Winter 2014
FINAL EXAM
25 April 2014
Name _
Instructions. Show all work where it is normally expected.
1. [32] Evaluate the following.
(a)
9 y 8
3 y 2 y 1
dy
(b)
4
sin
5 cos
d
(c)
x
2 x
e dx
2. [10] Set upbut do not evaluatethe integral(s) giving the a
Winter 2011
FINAL EXAM
27 April 2011
Name _
Instructions. Show all work where it is normally expected.
1. [24] Evaluate the following.
(a)
2
x
x e dx
(b)
sin y
2
1 cos y
dy
(c)
20
3x 2 5 x
dx
2. [12] Using horizontal cross sections (i.e., y cross sections
Fall 2010
FINAL EXAM
15 December 2010
Name _
Instructions. Show all work where it is normally expected.
1. [24] Evaluate the following.
(a)
xe
x
dx
(b)
2
0
y2
1 y3
dy
(c)
5
6 x 2 x 1 dx
2. [12] Set upbut do not evaluatethe integral(s) giving the area of t
Fall 2004
FINAL EXAM
21 December 2004
Name _
Instructions. Show all work where it is normally expected.
1. [20] Evaluate the following.
(a)
e
x
dx
(b)
x 1
x 2 x 1 2 dx
(c)
cos 3t
5 sin 3t 4 dt
2. [14] Let R be the closed region
which is shown to the righ