Math 118, Section 2
Spring, 2013
(January 25, 2013)
Instructor:
Office:
Office Phone:
e-mail Address:
Office Hours:
Gabriel Valenzuela
SC 630A
2179
[email protected]
Thursdays 2-4 pm
For this course you will need the textbook Calculus by Deborah Hu
Practice Exam 1
Chapters 5 and 6
Math 118 Spring 2011
1. An airplane begins its takeo run from a standstill on the runway
accellerating continuously from 0 to 280 km=hr. The following is a
table giving its velocity at certain times during its takeo run.
t
Math 118
Spring 2013
Practice Exam 2
Chapters 7 and 8
1. Evaluate the following integrals:
2
(x ex ) dx
(a)
(c)
x2 ln x dx
x
dx
1 + x2
(d)
t2 et dt
1
2
(b)
0
2. Sketch the region bounded by the curves y = x3 and y =
3
x and compute its area.
3. Determine
Math 118
Spring 2013
Practice Exam 2 Solutions
Chapters 7 and 8
1. Evaluate the following integrals:
2
2
2
(x ex ), dx =
(a)
ex =
xdx
1
1
1
x2
2
2
2
ex
1
= e e2 +
1
3
2
(b) We integrate this one by substitution. Let u = 1 + x2 . Then du = 2xdx, and
2
0
Math 118 Skills Test
Name:
Evaluate the following integrals. Where appropriate, check your results by
dierentiation. Remember that indenite integrals involve an arbitrary constant.
1. Integrate
2. Compute
Z
Z
(4x3 + 2) dx:
(1
0
1
sin x) dx.
3. Integrate
4
Review Sheet
for Integrals
Math 118
A. Direct recognition: These should trigger recognition of formulas from
dierentiation. Along these lines, remember that things like x
3
(neg-
ative exponent) represent reciprocals of powers, and radicals are simp
1
ply
Review Sheet
for Integrals
A. Direct recognition: These should trigger recognition of formulas from
dierentiation. Along these lines, remember that things like x
3
(neg-
ative exponent) represent reciprocals of positive powers, and radicals
p
1
are simply
Math 118: Using Your Graphing Calculator
The following worksheet will guide you through some of the important features of your
graphing calculator that we will be using this semester. Depending on your past
experience with Calculus and your calculator, so
Practice Exam 1
Chapters 5 and 6
Math 118 Spring 2013
1. An airplane begins its takeo run from a standstill on the runway
accellerating continuously from 0 to 280 km=hr. The following is a
table giving its velocity at certain times during its takeo run.
t