CKANTID Program
Check AntiDerivative 
by: Bill Kennedy
bk2001@hotmail.com


The purpose of this program is to quickly verify a solution for finding an antiderivative for an integral.  One way to check a solution is to apply limits to the original function and solve with 2nd calc 7.  This will produce a numerical result, limited by the tolerance setting of the calculator.  Another way is to input the antiderivative and use the fundamental theorem of calculus by solving for both limits and subtracting.  The result should be very close to the numerical result using 2nd calc 7.  This program is a quick way of doing just that.  It will output the two results and the difference between them on the screen with a minimum of keystrokes.

To run the program, input the original integral function into eqn Y1, in terms of x.  Then input your solution (worked out antiderivative) into eqn Y2.  Press program key and call up CKANTID program.  Enter the limits of integration, either ones that were assigned with the problem, or make some up (keep in mind that some functions have a limited domain).  The first limit is From A=.  Input value and press enter.  The second limit is To B=.  Input value and press enter. (note: it doesn't matter what order the limits are entered in, so long as you understand that only the sign of the result is affected)  The first result is the calculators fnInt() calculation using eqn Y1 and the second result is your antiderivative using eqn Y2.  The third result is calc's result - yours, this should be very near 0, or exactly.  A near 0 result means that your antiderivative is valid (a right answer!), a result that is not near 0 means- go back and try again at the antiderivative.

I wrote this program to automate what I was already doing while working on homework problems.  I hope you find it as useful as I did.  If you find a bug or a way to improve the program, please email me with the improved program.

Happy Calc'n!