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Method of obtaining the potential equation from the gradient

Posted 8 months ago

Would someone please tell me what I am doing incorrectly and/or show me the Mathematica recommended method of obtaining the potential equation from the gradient - see attached notebook.

It seems that in attempting to find the anti-derivative (especially in 2 or more dimensions with indefinite integrals) these inter constants "C" seems to convolute and complicate the calculations. I can perform the calculations manually; however, they are extremely time consuming and prone to errors. I am interested in learning if there is a better method than what I am using.

Thanks,

Mitch Sandlin

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POSTED BY: Mitchell Sandlin
5 Replies

I tried to solve your problem following your steps. See the attached notebook.

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POSTED BY: Gianluca Gorni

Thank you - I will study the notebook.

POSTED BY: Mitchell Sandlin
POSTED BY: Michael Rogers
POSTED BY: Mitchell Sandlin

You do not want a triple integral. You want three separate single integrals.

POSTED BY: Daniel Lichtblau
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