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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 Underapproximation; since f(x) is increasing

4 Left Hand Riemann Sums 02379 36768

5 Right Hand Riemann Sums

6 Over approximation; since f(x) is increasing

7 Right Hand Riemann Sums 02379 36768

8 Midpoint Riemann Sums

9

10 0510152025303540 7.09.29.57.04.52.4 4.37.3

11 Trapezoidal Rule

12

13 025910 6660524443

14 Summary


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