Cal 1 quiz 6 Reimann's Sum and Integral

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11 Terms

1
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n=
number of rectangles
2
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i=
the summation index (counts the rectangle you are on)
3
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a,b=
endpoints of the region of the function
4
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b-a=
the width of the region
5
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b-a/n=
width of a rectangle
6
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a+(b-a/n)i=
right hand endpoint of the iTH rectangle
7
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f(x)=
the function we are finding the area under
8
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f[a+(b-a/n)i]=
height of the iTH rectangle
9
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f[a+(b-a/n)I](b-a/n)=
area of the iTH rectangle
10
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n∑ i=1 f[a+(b-a/n)I](b-a/n)=
approximate area under the curve
11
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lim n→∞ n∑ i=1 f[a+(b-a/n)I](b-a/n)=
exact area under the curve