Integr8.85P



Written by Peter Kolbus, pkolbus@mailhost.net



Integr8 is an easy to use integration program for the TI-85 that does

integration by your choice of several methods - LeftRAM, MidRAM, RightRAM

(Rectangle Approximation Methods), Trapezoid, and Simpson's Rule.



A basic understanding of integration and the various methods is expected.

See your calculus textbook for a formal discussion.



Start the program, ponder the copyright screen for a while.  Press [Enter]

when you get bored. =)



Choose a method.  You can use the F-keys F1-F5 to select a method, or the

arrow keys (Up/down) to scroll and [Enter] to select.



Enter the expression you want to integrate, in terms of x.  You do not (and

should not) enter the f(x)= part, it is done for you.  You can enter the

name of an equation variable, or type in the expression here.  Press [Enter].

Enter the lower bound, a.  Again, you can enter a constant (5, -3.2) or

expression (4\pi\) here.

Enter the upper bound, b.  Same rules for entry apply here.

Enter the number of subdivisions, n.  This can be an expression, but must

(of course) evaluate to a positive integer.



The program will prompt you for re-entry of A, B, and N if:

-> n is not a positive integer

-> a is not less than b

-> method is Simpson and n is odd.



After a short time, the result will appear in decimal form, according to

current display settings.





A few notes:  I wrote this program last January for midterms when the

program that we got from our Calculus teacher was 1>> written for the TI-82

(I am one of 3 in the class that has the 85) and 2>> Well, inadequate.  I

tried converting the program to the 85, but it was just plain kludgy.  It

was unintuitive and insisted on doing all three RAM methods.  It also did

not do Trap or Simpsons period.  I wrote this one, and used it quite a bit

over the second term.  I thought I'd share it for all those entering Calc I

this year and needing a good integration program...

If you have any methods you want me to add to the program, let me know...

send me an email with a full discussion of the method and I'll see if I

can't squeeze it in.  Any feature enhancements or suggestions, let me know!!

Sorry, no ASCII is included, but if you don't have a link, you can still get

the software and read the file.  The link software is in the archive

somewhere... =)



This program is free to use, but donations are welcome ;)  However, the

Integr8 name and all contents of this file, abstract, documentation, and the

program itself remain copyright Peter Kolbus.



Enjoy!

-Peter Kolbus

pkolbus@mailhost.net