It was also used by Zu Chongzhi in the 5th century AD, who used it to find the volume of a sphere. ... Around AD 1000, the Islamic mathematician Ibn al-Haytham (Alhazen) was the first to derive the formula for the sum of the fourth powers, and using mathematical induction, he developed a method that is readily generalizable to finding the formula for the sum of any integral powers, which was fundamental to the development of integral calculus. ... Modern differential calculus on mean value theorem Archimedes is especially important for his discovery of the relation between the surface...

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