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Self reading a book in which an equation is given as

[tex]I_{mn}\equiv\int_{\Delta} x^m y^n dx dy[/tex]

where we are integrating an expression of the form [tex]x^m y^n[/tex] over an arbirtrary triangle.

Is the above actually a double integral because of the dxdy term? Ie can this be written

[tex]I_{mn}\equiv\int_{\Delta} x^m y^n dx dy= \int \int_{D} x^m y^n dA[/tex] where D is the triangle?

Thanks