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Integrate z where z=xy

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Joel John
Joel John on 16 Mar 2021
Commented: Rena Berman on 6 May 2021 at 20:06
How to integerate z where z=xy which i will be substituting separately
after integrating i need the answer back to xy not z
eg: integral(-2/z) should be 1/x^2*y^2 where z=x*y
  1 Comment
Rena Berman
Rena Berman on 6 May 2021 at 20:06
(Answers Dev) Restored edit

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Accepted Answer

John D'Errico
John D'Errico on 16 Mar 2021
Why does this seem obvious? Yet, the result that you seem to want is incorrect.
syms z x y
zint = int(-2/z,z)
zint = 
subs(zint,z,x*y)
ans = 
And that is because the integral of -2/z is NOT 1/z^2. I think you may be confusing integration and differentiation.

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