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When you transform a double intergral that goes over a set

D < RxR bounded on y-axes by g1(x) and g2(x) in two "normal" ones(litteral translation from my language would be

*subsequent integrals*- don't know the word in English) how do you swap the integrals by x and by y(taking y from y1=const to y2=const and x from h1(y) to h2(y)) without visualising the surface itself?

In other words is there any recipe for this kind of transformation or is it always done

*ad hoc*i. e. drawing a picture which you try to figure out?