Coin rotation paradox

Imagine we have 2 coins. The radius of the larger coin is 3 times the radius of the smaller coin.

Fundamental theorem of calculus

The 2 main operations of calculus are differentiation (which finds the slope of a curve) and integration…

Gabriel’s horn — a shape with finite volume but infinite surface area

Sleeping Beauty problem

The Sleeping Beauty problem was created in the 1980s. Although it appears to be a fairly simple probability problem, it remains controversial, with no solution being generally accepted.

The problem

Mean value theorem for integrals

The mean value theorem for integrals relates the area under a curve (the definite integral) to the…