For a Riemann sum, a TYPICAL ELEMENT is a rectangle, which looks like (e.g., with change x = 1)
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Now fill in all the typical elements as x ranges form 0 to 6, with the change in x = 1:
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equals
1
2
3
4
5
6
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The purple area approximates the teal area.
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To get better and better approximation of teal area, we take the change in x smaller and small.
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E.g., when the change in x = 0.5 we get
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equals
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6
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Letting the change in x go to zero gives the value of the definite integral is .....
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equals
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All done.
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Ignore this set-up folder (colors and box size)
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