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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%

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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%

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Section 5.4 The Fundamental Theorem o Calculus

The +unda"enta% Theore" of Ca%cu%us

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Section 5.4 The Fundamental Theorem o Calculus

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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%

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Section 5.3 The Defnite Integral

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