MAC
2233 Business Calculus
Test 4
November
25, 2013
7)
Find the indefinite integrals and definite integrals. Full credit will only be given if
antiderivatives are shown. (If time allows, check your result by differentiation.)
I
(X
2.
3x
2
4x dx
Use usubstitution for each of the following. Full credit will not be given unless
u
and
du
are clearly stated and the substitution is correct.
4.
f(x_2Xx2
_4x+7)2dx
5.
6.
Jxex2_4dx
f92
dx
'l
sJ5x+4
—
o
c
~
7. Setup (do NOT evaluate) the integral to find the area of the region shown below.
8. Set up (do NOT evaluate) the integral to find the area of the region bounded by
y=ex, y=x,
x=0, and x=l
A
—
$' r \"\,
.t1
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f(x)dx.)
(Recall the formula for average value:
15. BONUS!! Integrate
xe5xdx
10
9. Ske
unded by the graphs of y
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 Fall '08
 Evenson
 Calculus, Antiderivatives, Definite Integrals, Derivative, Integrals, 4%, 10 Years, $  0 14

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