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UTM Videos

Surprising Circles, Archimedes, Onions, and Calculus

Michael Starbird

Cool insights about circles and basic geometry give magical proofs to some calculus results such as the derivative and integral of sin(x). In fact, some basically calculus insights preceded calculus itself by a couple thousand years. For example, Archimedes used ideas about levers and limits to deduce the equation for the volume of the sphere.