Maple worksheets on integration |

Basic calculus topics:

The following Maple worksheets can be downloaded.

They are all compatible with

Classic Worksheet Maple 10.

Indefinite integrals-integ.mws

- The idea of integration.
- Rules for integration.
- Summary of standard integrals.
- Setting up a Maple procedure to perform basic integration.
- The Maple integration procedure:
int.- Examples.

Integration and area-defint.mws

- Antiderivatives, area and the Fundamental Theorem of Calculus.
- Examples of calculating areas under graphs.

The definite integral as a limit of a sum- defint2.mws

- Approximating areas under graphs by sums of areas of rectangles.
- Area elements and an explanation of the integral notation .. Riemann sums.
- Definite integrals of functions which may have negative values over the interval of integration

The definite integral as a limit of a sum-riemann.mws

- Summation formulas
- Integration using Riemann sums

A procedure for illustrating antiderivatives as area functions-areaplot.mws

- Graphs of antiderivatives as area functions.
- A procedure for plotting the area functions:
areaplot.- Examples

The area between two graphs-defint3.mws

- Calculating the area of a region between two graphs .. a special case.
- Examples of calculating the area of a region between two graphs.
- Calculating the area of a region between two graphs .. general case.
- More examples.

A procedure for illustrating thearea between two graphs-areabtwn.mws

- A procedure for plotting the area enclosed between two graphs:
areabetween.- Sheering animation for area between graphs.
- Examples of calculating the area between two graphs.

Calculus procedures-calculus.zip