Exam 2—-Math 132 Name: ’ﬁ%+
Thursday, February 27, 2014
Evaluate each of the foiiowing. SHOW ALL WO'BK for full crediti
1-(6)f1n($)d9: _., xwyw 3 «4%. x (C95
41656
ﬂuvial» E3“ ggwif
2.(3)/$3md$ U: K +C’f .5;
(it; 3 9x69}; (5 3/2
, x LEW»? ﬂaw . “C
\ f
Exam 3-Math 132
March 27, 2014
Name: 13 a?
Justify your answers and SHOW YOUR WORK for full credit!
I. (38) Evaluate each integral. You may use the attached table of integrals as needed.
3
a) (10)
W 75293:“:
_€ X5+4yw
S“ “9‘”?
f: m ‘3’?“ 5w «e S 35
VG saw '3’
_ 8 3e
Exam 1 Math 132 Name: Rf. %
February 6, 2014
Justify your answers and SHOW YOUR WORK for full credit.
1. (6) Complete the statement. The Fundamental Theorem of Calculus: Suppose f is continuous on [(1, b].
LThm dt : “by Ari .mlcbw
J
«wi
Mt; M 7‘
Exam 4-Math 132 Name:
April 24, 2014
Justify your answers and SHOW YOUR WORK for full credit”
1. (6) Label each statement TRUE or FALSE. (No justification is needed.)
(a) I If lim'aﬂ = 0, then 2a“ must converge /({;m Ué I'm: iiﬁwéwé
)1 ﬁx
n=l
,
PracticeExam2Math132
1.Evaluateeachoftheintegrals.Showallwork!
a)
b)
(1 x )
c)
d)
3
2 2
f)
g)
3xdx
x2 16
sin
e)
dx
3
xcos3 xdx
xe
dx
xe
dx
2 x
x2
(tan x 1) dx
2
csc x 2 dx
x
h) e
(ln x)dx
1
2.ConsidertheregionRboundedbyy=ex,y=1x,andy=2.
a
Final Exam Review KeyMath 132
1. a) Integration by Parts: Let u = ln(x4 ) = 4 ln x, du = (4/x)dx, dv = x2 dx, and v = (1/x)dx.
Z
Z
4 ln x
4 ln x 4
x2 ln(x4 )dx =
+ x2 dx =
+C
x
x
x
b) Integration by Parts, twice: Let u = x2 , du = 2xdx, dv = ex dx, v = e
Math 132-Final Review
Be able to:
State and apply the Fundamental Theorem of Calculus.
Evaluate definite integrals or find indefinite integrals using a variety of methods.
Solve area and volume problems.
Find formulas for and limits of sequences.
Determin