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math.HO2013
On the antiderivative of inverse functions
Michael Bensimhoun
One of the basics of calculus is the following proposition: If and are antiderivatives of two real functions and resp., then an antiderivative of is …
math.HO2013★ 7 cited
Historical account and ultra-simple proofs of Descartes's rule of signs, De Gua, Fourier, and Budan's rule
Michael Bensimhoun
It may seem a funny notion to write about theorems as old and rehashed as Descartes's rule of signs, De Gua's rule or Budan's. Admittedly, these theorems were proved numerous times…