Different solution with MathCAD - why?

Different solution with MathCAD - why? - definite integral - Messaggi

#1 Pubblicato: 07/03/2019 05:20:13
wschrabi

wschrabi

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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


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#2 Pubblicato: 07/03/2019 05:54:20
Davide Carpi

Davide Carpi

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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;
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#3 Pubblicato: 07/03/2019 06:02:35
wschrabi

wschrabi

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Thanks - I really did not see this.
#4 Pubblicato: 07/03/2019 06:29:45
NDTM Amarasekera

NDTM Amarasekera

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#5 Pubblicato: 07/03/2019 11:12:47
Jean Giraud

Jean Giraud

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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

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