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I'm using the book Apostol- Calculus Vol. 1 for self-studying to get a better understanding of proof based Calculus. They said this book was good for self studying, but I am already stuck in the first chapter. I'm trying to understand how he got the identity:

1^{2}+2^{2}+...+n^{(2)}= n^{3}/ 3 + n^{2}/2 + n/ 6

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# Method of Exhuastion for the area of a parabolic segment

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