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Mathematics

The Integral as a Measure of Accumulation: From Area to Volume

Quick fact

The integral concept, once limited to two dimensions, can be extended to find volumes of complex solids, like the volume of an apple, by slicing it into thin pieces and summing their volumes.

Why this is interesting

You've probably heard that an integral calculates the area under a curve. But what if that same idea could also tell you the volume of an object, even one with a tricky shape?