Definite Integral Approximations
This worksheet is intended to help the student compare and contrast the various methods for approximating or calculating definite integrals: Left/Middle/Right sums, Upper sums, Lower sums, Trapezoidal sums, and the Definite Integral itself.
Either use the default function or enter a function of your choice. Alternatively, drag (translate) the existing curve to a new position on the x-y plane. It will be especially useful to know how to pan or zoom within this worksheet.
- On a touchscreen, the usual pinching and swiping should be straight-forward.
- With a mouse and keyboard, click and drag on any open part of the graphics region to pan left/right/up/down. (i.e. Don't click and drag on an object.) A mouse scroll will may zoom in and out, although the Zoom buttons may offer finer control. Also, to re-scale either axis, Shift and click-drag along the axis.