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,
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fas a function of x y as a function of x
x as a function ofy

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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
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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
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
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
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