pantrasunnj/660/index.htm

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http://pan.intrasun.tcnj.edu/660/index.htm. Indefinite Integrals. Definite Integrals w/o a calculator. Definite Integrals w/ a calculator. Summations. Trig Integrals. Word problems. Def. Integrals w/o a calc. Indef. Integrals. D. I. w/ a calc. Sums. Trig integrals. - PowerPoint PPT Presentation

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http://pan.intrasun.tcnj.edu/660/index.htm

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Indefinite Integrals

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Definite Integrals

w/o a calculator

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Definite Integrals w/ a calculator

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Summations

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Trig Integrals

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Word problems

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Indef. Integrals

Def. Integrals w/o a calc

D. I. w/ a calc

Sums Trig integrals

Word problems

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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

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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

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The graph of f is given in the figure. Evaluate:

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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

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Find the average value of the function over the interval.

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10,5,1

1)(

xxf

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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?

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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).

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2sin75.1

tv

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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,