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Special Reimann Sums
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1
From Flickr: The Last Piece by passmeawine
Putting the Pieces Together
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Mathematical Definition:
Indefinite Integral
Verbal Meaning:
Definite Integral
Verbal Meaning:
Review: Two Types of Integrals
Mathematical Definition:
3
If
Then
Review: Mean Value Theorem
f (x)
a b
4
5
The value of Rn is ______________,independent of the value of ___ (number of ________________
R6 = ___________________
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1 2 3 4
1 2 3 4
c1 c2 c3
f(c1)
f(c3)f(c2)
g(2)g(1)21
= g'(c1) = f(c1)
Slopeof
secant line
Slopeof
tangent line= =
Heightof
Riemannrectangle
By Mean Value theorem
By definition of indefinite integral
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1 2 3 4
1 2 3 4
3 & 4.
8
1 2 3 4
1 2 3 4
5.
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