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March 31st, 2014, 02:48 AM   #1
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Integral total and partial of a function?

Like we have the total differential of a function:


I was thinking, why not take the "total integral" of a function too? Thus I did some algebraic juggling and, how I haven't aptitude for be a Ph.D. in math, I bring my ideia for the experients from here evaluate... Anyway, the ideia is the follows:

Let y = f(x), so:




Generalizing...

Let w = f(x,y,z), so:


I don't venture take the 2nd integral of y because I think that will arise one d²x in the denominator...

What you think about? All this make sense?
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March 31st, 2014, 01:07 PM   #2
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Your "integrals" are strange. You need a differential to make sense.
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March 31st, 2014, 06:35 PM   #3
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Quote:
Originally Posted by mathman View Post
Your "integrals" are strange. You need a differential to make sense.
If you to multiply $\displaystyle \int w$ by a desired differential, it will make sense...
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April 1st, 2014, 03:46 PM   #4
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It looks to me that your last equation says 1 = 3.
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