Intergral ~~~---~~~---~~~---~~~---~~~ Created by Alex Blount bigbadal_318@yahoo.com ~~~---~~~---~~~---~~~---~~~ !!! revision date- 2/28/01- I just realized how to make the calculator find the volume by revolving it around other !!! lines other than the x or y axes, so i changed the program. Of course, it came to me about 3 min after i !!! turned in my chapter test on integration and volume... but oh well, that's how it goes. Hope it helps you, !!! and don't be afraid to send me an email. Alex This program uses the functions of "fnInt(" and "nDeriv(" to find: 1. Arc Length 2. Area 3. Volume 4. Surface Area, or 5. Any Integral It will also find the intersection of lines and input them into a lower or upper bound using Newton's Method. *** HOW TO USE THE PROGRAM *** -All equations must be in terms of x and use "x" for the variable. Enter in a function (or two functions), a lower bound, and an upper bound and the calculator does the rest. -You can choose to enter the lower/upper bounds, or use the intersection of two functions. If you only entered one function, it will find the intersection with the x-axis. *** IMPORTANT: ABOUT AREA!!! *** -I made the area portion of the program to find the -complete area (or magnitude) between two functions, no matter how much they "intertwine". -For example, if you calculate the area of sin(x) from 0 to 2pie using only the "fnInt(" function, the calculator would return "0" for your answer because half the area equals "2" and the other half equals "-2." However, the area part of the program will return "4" as the total magnitude. In the case of area between two functions, it returns the total area. -If you wish to change this, just take the "abs(Y1-Y2)" out of this statement and replace it with "Y1-Y2": If K=93:Then fnInt(abs(Y1-Y2),X,L,U,1e-15)->0 Disp "Area=",A Frac End -This was actually about 8 programs that I wrote as we did new sections in calculus. Finally, I decided that I should put them all together into one big happy program. If you have any comments or questions about the program, just email me and I'll be happy to talk (i guess actually type) with you. Thanks for using the program, and please don't take out the "Created by Alex" part. I worked hard on this to make it look actually kind of cool, with the lowercase letters instead of all caps. Thanks again, Alex Blount, bigbadal_318@yahoo.com