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76 – Riemann Sums – Rectangles Day 2 – Tables Calculator Required

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Presentation on theme: "76 – Riemann Sums – Rectangles Day 2 – Tables Calculator Required"— Presentation transcript:

1 76 – Riemann Sums – Rectangles Day 2 – Tables Calculator Required
Integration Investigations III 76 – Riemann Sums – Rectangles Day 2 – Tables Calculator Required

2 x –2 2 4 6 f(x) 7 8 Width: 2 Left Hand Sum

3 x 3 6 9 12 f(x) 2 4 7 Width: 3 Right Hand Sum

4 x 2 4 6 8 f(x) 5 3 Width: 4 Midpoint Sum

5 x 2 4 5 7 8 f(x) 3 6 Width: not equal (separate areas) Left Hand Sum

6 x 3 6 8 9 f(x) 5 4 Width: not equal (separate areas) Right Hand Sum

7 x 2 4 5 7 8 f(x) 3 6 Width: not equal (separate areas) Right Hand Sum

8 x 1 5 9 13 17 f(x) 3 7 2 Width: 8 Midpoint Sum

9 x 1 2 6 8 10 f(x) 9 7 Width: not equal (separate areas) Right Hand Sum

10 x 1 2 3 5 6 8 f(x) 4 7 Width: not equal (separate areas) Right Hand Sum

11 x 5 6 7 8 9 10 11 12 13 f(x) 2 3 4 Width: 2 Midpoint Sum


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