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Order of IntegrationSome regions can be viewed either as Type I or Type II. In that case we can set up an iterated integral in two ways. Depending on the integrand, one can be a lot easier than the other! Sometimes you're given an impossiblelooking iterated integral, and you can solve it by swapping (i.e., reversing) the order of integration. This means
An example is worked in detail in the video below.
Reversing the order of integration in a double integral always requires first looking carefully at a graph of the region of integration. Then it's a matter of algebra and inverse functions.
