Introduction
This program computes left, right, Trapezoid, Midpoint, and
Simpson's approximations for
.
If you have not used one of the programs posted on this website before,
you should read through
the information in the Intro to Programming
section first.
If you have a TI Connectivity Cable, you can download the program ALLSUMS.86p
The Program
:Prompt A,B,N | {Prompt is in PRGM under I/O} |
:(B-A)/NH | {The arrow is STO} |
:Ax | {x is x-VAR} |
:0L | {The 0 is a zero} |
:0M | {The 0 is a zero} |
:1J | {The 1 is a one} |
:Lbl P | {Lbl is in PRGM under CTL} |
:L+y1*HL | {y1 is in CATLG-VARS under EQU} {The * is the times sign} |
:x+H/2x | |
:M+y1*HM | |
:x+H/2x | |
:IS>(J,N) | {IS> is in PRGM under CTL} |
:Goto P | {Goto is in PRGM under CTL} |
:Bx | |
:L+y1*HR | |
:Ax | |
:R-y1*HR | |
:(L+R)/2T | |
:(2*M+T)/3S | |
:Disp "L R T M S" | {Disp and " are in PRGM under I/O} |
:Disp L | |
:Disp R | |
:Disp T | |
:Disp M | |
:Disp S |
Running the Program
You will need to enter a function f(x) into y1 before running
the program. The program will ask for values of A, B, and N (number of
subdivisions).
To test the program try the following:
f(x) = x2+ 3,
A=1, B=4, N=20.
Your answer will be
L R T M S
28.88625
31.13625
30.01125
29.994375
30