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I have a question regarding notation. I have a function f(x, y), which I would like to integrate as

[tex]

\int_{x>0,y<x\frac{1}{\sqrt{\pi}}+1}{f(x, y) dxdy}

[/tex]

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

[tex]

\int_{\alpha}{f(x, y) dxdy}

[/tex]

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,

Niles.

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# Proper mathematical notation in regarding integrals

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