What is a multiple integral? The notion itself is fairly intuitive: we stretch the notion from single variable calculus of “the area under a function’s graph” to higher dimensions, resulting in the multidimensional analogue of area, volume (or hypervolume). A multiple integral is essentially a way of quantifying the spatial “footprint” that a region or the graph of a function has. It is computable by splitting the region into many smaller pieces, but there is some art to performing this dissection.