Hi
I have tried to calculate this elliptic Integral with MathCAD v15 and SMath.
But I get a Different solution with MathCAD - why? Thanks for help.

WaLTER


Eliptic.sm (17.31 KiB) downloaded 651 time(s).

Hello Walter,

results are different because you are making another calculation:

• numerator of the mathcad function is l (lowercase L) while in SMath is 1 (one);
  
• upper bound of the integral is e (Euler's number) in mathcad, while is 0.5 in SMath;

Thanks - I really did not see this.

Wrote

Thanks for help.

Always plot the integrand to avoid disaster.
Simpson integrator ranges from exact to absolute scrap.
In doubt, sanity vs Mathcad 11 adaptive.
In your example: watch the low limit.
Alternately, sanity Wolfram Integrator

Jean

Eliptic (1).sm (27.6 KiB) downloaded 669 time(s).