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Indefinite Integrals
Definite Integrals
w/o a calculator
Definite Integrals w/ a calculator
Summations
Trig Integrals
Word problems
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Indef. Integrals
Def. Integrals w/o a calc
D. I. w/ a calc
Sums Trig integrals
Word problems
Back
dxxx )243( 2
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dx
x
xx2
23 12
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dx
x3 3
2
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dt
tt
2
2
1
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dx
xx
x22 )56(
3
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1
1
2 2 dtt
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1
0
)1( dxxx
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2
0
4 dxx
Sketch the graph and use geometry to solve
Back
6
32 83
dxx
x
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0
1
2 1 dxxx
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7
2
3 dv
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1
0
32 )1( dxxx
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1
83
2
2dx
x
xx
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4
02
2
cos
sin1
d
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dxxx 4
0
2 34
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7
1
2 2i
i
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2200
1
)1(
i
i
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100
1
2 )1(i
ii
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nn
in
in
22lim
1
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nn
in
in
221lim
1
2
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dxxx 2sec2cos5
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dxxx )3sin( 2
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d 2tan2sec
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dxx
x
sin
cos
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dxx 4
4
2sin
The graph of f is given in the figure. Evaluate:
Back
7
1
)( dxxf
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Sketch the region bounded by the graphs of the equations and determine its area
8,0,0,1
4
xxy
xy
Find the average value of the function over the interval.
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10,5,1
1)(
xxf
A ball is thrown vertically upward from ground level with an initial velocity of 96 feet per second. How long will it take the ball to rise to its maximum height?
Back
After exercising a few minutes, a person has a respiratory cycle for which the rate of air intake is:
Find the volume, in liters, of air inhaled during one cycle (2 minutes long).
Back
2sin75.1
tv
The probability of finding iron in ore samples taken from a certain region is
What is the probability that a sample will contain between 0% and 25%?
b
a
ba dxxxP )1(32
1155 2/33,