MATHUA 122: Calculus II  Fall 2016
Name:
Integrate the following integrals.
Z
6x ln(7x ) dx
1.
Z 2
2.
1
Z
3.
(ln x )2 dx
te5t dt
Section:
Worksheet 2: Integration by Parts
Date:
Z
arcsin x dx
4.
Z
e8x sin(9x ) dx
5.
6. Suppose that f (1) = 2, f (4) = 5,
Calculus II Midterm II Review Problems
These problems are chosen to represent the more challenging problems on the midterm.
1) Using L'Hopsital's Rule to compute limits of indeterminate forms, nd the vertical and
horizontal asymptotes of the following fun
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Wagner Maciel
Mr. Abatiell, Thursdays, 12:30PM
March 29th, 2017
Paper II Platos Apology and Republic
It is our duty as citizens to choose between either picking our heads up and looking
toward the sun and becoming philosopher kings, or embracing ignorance
MATHUA 122: Calculus II  Fall 2016
Name:
Trigonometric Integration
Z
cos5 x
dx
sin x
Z
tan4 x dx
2.
Z /2
3.
0
Worksheet 3: Trig Integration
Date:
Integrate the following integrals.
1.
Section:
cos2 x dx
Trigonometric Substitution
Z
4.
Z
x
36 x2
5.
dx
dx
MATHUA 122: Calculus II  Fall 2016
Name:
1. Estimate ln(2) =
Section:
Worksheet 5: Approximation
Date:
Z 2
1
1
x
dx with Trapezoid, Midpoint, and Simpsons rule and n = 8
2. Estimate the maximum error in our approximation of ln(2) with the MIdpoint rule
MATHUA 122: Calculus II  Fall 2016
Section:
Worksheet 1: Integration
Name:
Date:
1. Which of the following are equal to
Z 5
ln x
1
x
dx?
Please circle all of the correct answers. You do not need to justify your solution.
5
(a)
ln xi
x, where x = 4/n and
TOW m I?
fas a function of x y as a function of x
x as a function ofy

l
i
. ._ ._.;o_._:_._.c u fas a function of x
x as a function of y
y as a function of x
f as a function of y T698 TS?
fas a function of x y as a function of x
' . \
x as a func
What are social cleavages?
1. Language:
Not just about spoken language.
A statement about how you were brought up.
2. Religion:
Reflects personal beliefs and attitudes.
Deeprooted.
Places of worship are hubs for social interaction.
3. Class:
Class/
Calculus II: Final Exam
Name:
Instructor:
Show your work. Full credit may not be given for an answer alone. You may not
use notes or a calculator. Use the provided spaces for writing your answers. Place a
box ( ) around any nal numerical answer or express