Calculus applications: area, arc length, volume, surface — a TI-84 Plus CE program
CALCAPP is a TI-BASIC program for the TI-84 Plus CE. Type f(x) (and g(x) where needed) and the limits: area between curves, arc length, volume of revolution about the x-axis by disks/washers or about the y-axis by shells, and surface area of revolution — Simpson's rule with 200 panels.
What it asks for and what it shows
It asks for 4 values at its prompts, after you pick option 1 from its menu. In the example below it shows VALUE.
Example run
One of its oracle test cases: “area between y=x and y=x² on [0,1]”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Menu | option 1 |
| Input 1 | X |
| Input 2 | X² |
| Input 3 | 0 |
| Input 4 | 1 |
| The screen shows | |
VALUE= | 0.1666666667 |
How it's checked
7 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 21 checks.
How E-Code checks every program
Run it or put it on your calculator
- Open the library in the TI-84 Plus CE calculator and pick “Calculus applications: area, arc length, volume, surface” (CALCAPP).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
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All TI-84 Plus CE math programs · All TI-84 Plus CE programs