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Proper mathematical notation in regarding integrals

  1. Jul 11, 2012 #1

    I have a question regarding notation. I have a function f(x, y), which I would like to integrate as
    \int_{x>0,y<x\frac{1}{\sqrt{\pi}}+1}{f(x, y) dxdy}
    My question is very simple, and probably very silly: What there a notation which enables me to write the condition for the integral (x>0, y ....) in a much shorter version? I thought about defining a set myself called α, which is defined by this condition and then just write
    \int_{\alpha}{f(x, y) dxdy}
    But I am not sure if I am allowed to do this. Even if I am allowed to do this, I don't know how to properly define the set. I would be very happy to recieve some professional help.

    Best wishes,
  2. jcsd
  3. Jul 11, 2012 #2


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    Hi Niles! :smile:

    You can either write it with two ∫ signs …
    \int_{x>0}\int_{y<x\frac{1}{\sqrt{\pi}}+1}f(x, y) dxdy

    or you can write it
    \int_A f(x, y) dxdy

    and state separately that A is the region [itex]x>0,y<x\frac{1}{\sqrt{\pi}}+1[/itex]
  4. Jul 11, 2012 #3

    Thanks for that.

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