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Section 5.3 The Defnite Integral
As the number of rectangles increased, the approximation of the
area under the curve approaches a value.Copyright 2010 Pearson Education, Inc.
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Section 5.3 The Defnite Integral
Definition
Note: The function f(! "ust #e continuous on the inter$a% &a, #'.
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Section 5.3 The Defnite Integral
Parts of the Definite Integra%
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Section 5.3 The Defnite Integral
Properties of the Definite Integra%
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Section 5.3 The Defnite Integral
eo"etric Interpretations of the Properties of the Definite Integra%
Copyright 2010 Pearson Education, Inc.
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Section 5.3 The Defnite Integral
)sing the Properties of the Definite Integra%
i$en:
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Section 5.3 The Defnite Integral
*u%es of the Definite Integra%
Ea"p%es
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Section 5.4 The Fundamental Theorem o Calculus
The +unda"enta% Theore" of Ca%cu%us
Ea"p%es 5
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Section 5.4 The Fundamental Theorem o Calculus
The +unda"enta% Theore" of Ca%cu%us
Ea"p%es
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Section 5.4 The Fundamental Theorem o Calculus
Differentiating a Definite Integra%
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Section 5.4 The Fundamental Theorem o Calculus
Differentiating a Definite Integra%
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Section 5.4 The Fundamental Theorem o Calculus
ean -a%ue Theore" for Integra%s
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Section 5.3 The Defnite Integral
ean -a%ue for Definite Integra%
+ind the "ean (a$erage! $a%ue of the function o$er the inter$a%
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Section 5.3 The Defnite Integral
Difference #eteen the -a%ue of a Definite Integra% and Tota% /rea
+ind the "ean (a$erage! $a%ue of the function o$er the inter$a%
Cop right 2010 Pearson Ed cation Inc
-a%ue of the Definite Integra%
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Tota% /rea
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