Common Exam 1 M175 Worksheet - 2016
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4Common Exam 1
Name:
M175, Spring 2016
Part I: Short Form
The first five (5) pages are short answer.
You don’t need to show work.
Partial credit will be rare.
1. (2 pts. ea.) Find the antiderivatives.
5
=
=
sin( )
=
cos(6 )
=
7
=
3
2. (4 pts. ea.) For each problem on this page, select an appropriate integration method from the
list below. Write the letter or the name of your method. Then complete the required first
steps for your method.
Method
Required Steps
A. Elementary . . . . . . . . Write the final answer.
B. Substitution . . . . . . . Write the
= formula and compute
.
C. Parts . . . . . . . . . . . . . . Write down
and
, then compute
and
.
D. Trig Substitution . . . Write down
= trig function and compute
.
E. Partial Fractions . . . Write the correct form using letters. Do not solve for the letters.
(a)
sin(4 )
2
(b)
sin(4
)
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