Integrate z where z=xy

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

[Rena Berman]

(Answers Dev) Restored edit

Answer 1

[John D'Errico]

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.