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Riemann Sums Integral Properties Indefinite Integrals Integration by Substitution Definite Integrals $500 $200 $100 $400 $300 $100 $100 $100 $100 $500 $200 $400 $300 $500 $200 $400 $300 $500 $200 $400 $300 $500 $200 $400 $300

Riemann Sums

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Riemann Sums. Integral Properties. Indefinite Integrals. Integration by Substitution. Definite Integrals. $100. $100. $100. $100. $100. $200. $200. $200. $200. $200. $300. $300. $300. $300. $300. $400. $400. $400. $400. $400. $500. $500. $500. $500. $500. - PowerPoint PPT Presentation

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Page 1: Riemann Sums

Riemann Sums

IntegralProperties

IndefiniteIntegrals

Integration by

Substitution

Definite Integrals

$500

$200

$100

$400

$300

$100 $100 $100 $100

$500

$200

$400

$300

$500

$200

$400

$300

$500

$200

$400

$300

$500

$200

$400

$300

Page 2: Riemann Sums

Riemann Sums - 100

Page 3: Riemann Sums

Riemann Sums - 100

Page 4: Riemann Sums

Riemann Sums - 200Use upper sumsto estimate:

Page 5: Riemann Sums

Riemann Sums - 200

Page 6: Riemann Sums

Riemann Sums - 300

(N = 5)

Page 7: Riemann Sums

Riemann Sums - 300

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Riemann Sums - 400

Page 9: Riemann Sums

Riemann Sums - 400

Page 10: Riemann Sums

Riemann Sums - 500

Page 11: Riemann Sums

Riemann Sums - 500

Page 12: Riemann Sums

Integral Properties - 100

Page 13: Riemann Sums

Integral Properties - 100

Page 14: Riemann Sums

Integral Properties - 200

Page 15: Riemann Sums

Integral Properties - 200

Page 16: Riemann Sums

Integral Properties - 300

Page 17: Riemann Sums

Integral Properties - 300

Page 18: Riemann Sums

Integral Properties - 400

Page 19: Riemann Sums

Integral Properties - 400

Page 20: Riemann Sums

Integral Properties - 500

Page 21: Riemann Sums

Integral Properties - 500

Page 22: Riemann Sums

Indefinite Integrals - 100

Page 23: Riemann Sums

Indefinite Integrals - 100

Page 24: Riemann Sums

Indefinite Integrals - 200

Page 25: Riemann Sums

Indefinite Integrals - 200

Page 26: Riemann Sums

Indefinite Integrals - 300

Page 27: Riemann Sums

Indefinite Integrals - 300

Page 28: Riemann Sums

Indefinite Integrals - 400

Page 29: Riemann Sums

Indefinite Integrals - 400

Page 30: Riemann Sums

Indefinite Integrals - 500

Page 31: Riemann Sums

Indefinite Integrals - 500

Page 32: Riemann Sums

Integration by Substitution - 100

Page 33: Riemann Sums

Integration by Substitution - 100

Page 34: Riemann Sums

Integration by Substitution - 200

Page 35: Riemann Sums

Integration by Substitution - 200

Page 36: Riemann Sums

Integration by Substitution - 300

Page 37: Riemann Sums

Integration by Substitution - 300

Page 38: Riemann Sums

Integration by Substitution - 400

Page 39: Riemann Sums

Integration by Substitution - 400

Page 40: Riemann Sums

Integration by Substitution - 500

Page 41: Riemann Sums

Integration by Substitution - 500

Page 42: Riemann Sums

Definite Integrals (FTC) - 100

Page 43: Riemann Sums

Definite Integrals (FTC) - 100

Page 44: Riemann Sums

Definite Integrals (FTC) - 200

Page 45: Riemann Sums

Definite Integrals (FTC) - 200

Page 46: Riemann Sums

Definite Integrals (FTC) - 300

Page 47: Riemann Sums

Definite Integrals (FTC) - 300

Page 48: Riemann Sums

Definite Integrals (FTC) - 400

Page 49: Riemann Sums

Definite Integrals (FTC) - 400

Page 50: Riemann Sums

Definite Integrals (FTC) - 500

Page 51: Riemann Sums

Definite Integrals (FTC) - 500

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