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Exam One
MATH 122
Winter, 2008
Name_______________________________
Section____________
Show all your work on the exam paper, legibly and in detail, to receive full credit.
No Calculators.
Some useful formulas:
(
)
(
)(
)
(
)
2
1
3
1
2
1
2
1
;
6
1
2
1
;
2
1
∑
∑
∑
=
=
=
⎥
⎦
⎤
⎢
⎣
⎡
+
=
+
+
=
+
=
n
k
n
k
n
k
n
n
k
n
n
n
k
n
n
k
1.
(5 points) Given the following differentiation formula, state its corresponding
integration formula.
[
]
2
2
1
1
x
x
x
dx
d
+
=
+
2.
(5 points) Show that the following integration formula is correct.
( )
( )
( )
∫
+
−
=
C
x
x
x
dx
x
x
cos
sin
sin

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