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Name ____ ~K~e~J6~----------------------
MTH 1001 GSA Name
Grade:
PRACTICE FINAL EXAM
Evaluate the following indefinite integrals:
1. f(200X
9
+6x
3
+30W}ix::: \ )00 X'1 + b X
3
+ 30
o.
-'
X
'O
+
r
5/
3
10
~
X
X +
2.
I
:2 X +
)\
I
3
S t' n (5 x=C
l:zox
(5
3. f[120xcos
3
(Sx
2
)sin(sx
2
)}ix:::
4.
U= CDS
du
Sill (50 Jx,
(5x d,h
~
~
')0
I: _/
~
-, dr --
U I U -,
Expand the following sigma notation and find the sum:
I
+
~5
+-
I
?:>
{
X
5
do
U~+
--
+
5. Setup and evaluate the Riemann Sum using right-endpoint approximations to find
the area under the curve j(x) = 4x + 1 from x = 1 to x = 3
\\',l>oD
\ 1M (
\\~" cO
[
L
( I~ ,
(I ."'c()
Il'rtl
(
+
)
)0
fI 00
n
n n n
Hint: ~) = nand L:k = n(~+l) and L:e = n(n+l~2n+l)
k=l k"'l k=l
b
6X ==
6. The areas of the various regions are indicated in the picture to the right.
Evaluate the following integrals based on the ...

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