Quiz: calculating a definite integral

[Thomas Klemm]

(12-30-2013 11:44 PM)W_Max Wrote:  Well... It depends on what machine we have. Even plain TI-55 can calculate this, using primitive rectangle method. But I prefer Simpson's if it can fit in program memory, of course

I've tried Valentin's Gaussian integration for the HP-11C for various values of N:

   10: 1.291303564
   20: 1.291290482
   50: 1.291286729
  100: 1.291286183
  200: 1.291286042
  500: 1.291286006
 1000: 1.291285997

He doesn't seem to be fond of Simpson's rule:

Quote:Simpson's method is to numerical integration what bubble sort is to sorting, i.e., vastly inefficient.