# ALLSUMS - TI 86

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