Calculus Chapter 5 5.1,5.4

# Calculus Chapter 5 5.1,5.4 - Chapter 5 Integration Third...

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Chapter 5 Integration Third big topic of calculus

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Integration used to: Find area under a curve
Integration used to: Find area under a curve Find volume of surfaces of revolution

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Integration used to: Find area under a curve Find volume of surfaces of revolution Find total distance traveled
Integration used to: Find area under a curve Find volume of surfaces of revolution Find total distance traveled Find total change Just to name a few

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Area under a curve can be approximated without using calculus.
Then we’ll do it with calculus to find exact area. exact area.

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R ectangular A pproximation M ethod 5.1 Left Right Midpoint
5.2 Definite Integrals

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Anatomy of an integral integral sign
Anatomy of an integral integral sign [a,b] interval of integration a, b limits of integration

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Anatomy of an integral integral sign [a,b] interval of integration a, b limits of integration a lower limit b upper limit
Anatomy of an integral integral sign [a,b] interval of integration a, b limits of integration a lower limit b upper limit f(x) integrand x variable of integration

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Rules for definite integrals If f and g are integrable functions on [a,b] and [b,c] respectively 1. Zero Rule
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Calculus Chapter 5 5.1,5.4 - Chapter 5 Integration Third...

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