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Approximating Definite Integrals. Left Hand Riemann Sums.

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Presentation on theme: "Approximating Definite Integrals. Left Hand Riemann Sums."— Presentation transcript:

1 Approximating Definite Integrals

2 Left Hand Riemann Sums

3

4 Underapproximation; since f(x) is increasing 

5 Left Hand Riemann Sums 02379 36768

6 Right Hand Riemann Sums

7

8 Over approximation; since f(x) is increasing

9 Right Hand Riemann Sums 02379 36768

10 Midpoint Riemann Sums

11

12

13 0510152025303540 7.09.29.57.04.52.4 4.37.3

14 Trapezoidal Rule

15

16

17 025910 6660524443

18 Summary


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