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insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques

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Page 1: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques
Page 2: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques

d lnx S dx LnlxltC

dat oilna

Page 3: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques

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Page 4: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques
Page 5: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques

RIEMANN Sumsum

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x

fig base heightbase DX

this gets us area of a finiteof rectangleswww

n'isms EE base height

this gets Us area of an infinite

of rectangles

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Ff Dx flxisame area but in terms of X now

mum

Page 6: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques

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Page 7: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques

TrapezoidsMT

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what if

Xs are NOT

evenly graced

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A tz bXa f tfx.Dtdxbfflx.lt tAxcffCxdtfG

gtAxdffLxdtfxAtffCxHtf

Page 8: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques
Page 9: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques

S H dx

if xdxtfobx.de

Page 10: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques

Sbaflx dx area under littlefA if G quad

Il l

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area above area below 1a b

FTC Part 2

Fundamentaltheorem of Calculus

b

f fCx dx Fcb F a YET CHANGEA THEOREM

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OVERALL How moot

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a

Page 11: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques

FTC part Imm

Stef Hdt

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2 Fca f 22 4x

Page 12: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques
Page 13: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques
Page 14: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques
Page 15: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques
Page 16: insert - Mrs. Neal, FCHS Mathematics · Understand the concept of a Riemann sum and its relationship to integration. Know the Fundamental Theorem(s) of Calculus. Be able to use techniques