Left Boxes
The sum of the areas enclosed by rectangles is the Riemann sum
where the heights of the rectangles are determined by the function values at
the
left-hand endpoints of the subintervals.
To make a left-boxes plot
- 1.
- Make a middle-boxes plot.
- 2.
- Select the frame or the view.
- 3.
- Click
itbpF0.3009in0.3009in0.0701inproperty.wmfand choose the Plot Components page.
- 4.
- Check Left Boxes.
- 5.
- Reset the intervals and the number of boxes as desired.
- 6.
- Choose OK.
Calculus + Plot Approx. Integral, Edit +
Properties
x sin x
dtbpF3in2.0003in0pt
Applied to the expression x sin x, with four rectangles and
0≤x≤3, the approximating Riemann sum is