Gaussian Evaluation of a Definite Integral

This program, like the Modified Simpson method, is used to limit the amount of machine-introduced error in the evaluation of integrals. In the Gauss method, however, the interval (A,B) is transformed to an interval (-1,1) and the function is evaluated at symmetrically arranged argument values which are then multiplied by the corresponding weight factors.

Program Notes:

It will be necessary to enter your actual function in the program (see REM statement).

Downloads:

basic program (liberty basic) lbgedi.bas

Test Case:

Find the correct value for the following:

F = l/X

(1,2)

GAUSSIAN EVALUATION
OF A DEFINITE INTEGRAL

KEY IN LOWER LIMIT 1
KEY IN UPPER LIMIT 2

THE VALUE OF THE INTEGRAL IS 0.69314714


DO YOU WANT NEW LIMITS (YES=1,NO=0)? 0