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Calculus applications: area, arc length, volume, surface — a TI-84 Plus CE program

By E-Code · updated

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.

StepValue
You enter
Menuoption 1
Input 1X
Input 2X²
Input 30
Input 41
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

Related programs

All TI-84 Plus CE math programs · All TI-84 Plus CE programs