AP Calc Unit 4: Riemann Sums

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7 Terms

1
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Equal subinterval formula

b-a/n

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Left

Skip last value in table

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Right

Skip 1st value in table

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How to find the overestimate and underestimate for left and right Riemann sums?

  • By identifying if f(x) is increasing or decreasing

  • Draw curve down if decreasing, and up if increasing

  • Place 2 points on graph

5
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Trapezoidal formula

½h(b1 + b2)

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How to find the over/under estimate for trapezoidal Riemann sums?

-Concavity

-F(x) is ccu when f’(x) is increasing and vice versa

-Slope on table: difference between f(x) values/difference between x values

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Midpoint Riemann sums

Use middle value in f(x) section of table