ALLSUMS - TI 82

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.

The Program
 :Prompt A,B,N {Prompt is in PRGM under I/O} :(B-A)/NH {The arrow is STO} :AX {X is X,T button} :0L {The 0 is a zero} :0M {The 0 is a zero} :1J {The 1 is a one} :Lbl 1 {Lbl is in PRGM under CTL} :L+Y1*HL {Y1 is in Y-VARS under FUNCTION} {The * is the times sign} :X+H/2X :M+Y1*HM :X+H/2X :IS>(J,N) {IS> is in PRGM under CTL} :Goto 1 {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 is in PRGM under I/O} { " is on the + button} :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