Texas Instruments TI-80

11-6 Applications

This program uses Simpson’s method to estimate the definite integral of a

function.

Estimate the definite integral of

‰

1.5

(6ì6x5)dx

and graph the area of the integral.

The program estimates the definite integral for Y1 using

Simpson’s method. It prompts for the lower and upper limits

of integration and the number of divisions.

PROGRAM:SIMPSON

:INPUT "LOWER LIMIT=",A Input lower limit.

:INPUT "UPPER LIMIT=",B Input upper limit.

:INPUT "N DIVISIONS=",D Input # of divisions.

:0→SInitialize sum variable.

:(BìA)/(2×D)→WCalculate division width.

:FOR(J,1,D,1) Begin calculation loop.

:A+2(Jì1)W→LCalculate left point.

:A+2JW→RCalculate right point.

:(L+R)/2→MCalculate midpoint.

:W(Y1(L)+4Y1(M)+Y1(R))

/3+S→S

Calculate division sum and

add to total.

:END

:DISP "AREA=" Display results.

:DISP S

Follow this procedure to solve the problem.

1. Enter the program.

2. Press ( and enter the function in Y1. Turn any other

functions off.

Problem

Program

Procedure