aorry it wasnt that great an explanation if you integrated 1/z dz=2x+4you would end up with ln|z|=x^2+4x+c then getting rid of the ln you would have
|z|=e^(x^2+4x+c) i was wondering how you would write this for z=??
Note that if z and z' are complex numbers, we have :
If you're talking about absolute values, and z is a real number, then you indeed have
Hence z can be equal to or
Also, don't forget the integration constant.
Let's just remember that if
then or .
This makes sense because the modulus is really the SIZE or LENGTH or MAGNITUDE of what is inside it.
So if we had, as above
we use the index law to get
But since is an arbitrary constant, so is . Therefore we could write is as another letter, say A.
I think your teacher is just getting a bit pedantic - technically speaking if you deal with mods you have to deal with conditions, but if dealing with integration you're assumed to already know this and so can do the "inverse modding" as you say.