# Apostol proof

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• May 8th 2014, 02:44 AM
mathnerd15
Apostol proof
I'm not sure about this proof of the integral of 2x^2+1 from the vol. 1 of Apostol...
for the case 2x^2+1, the inequality becomes
$\frac{2b^3}{3}-\frac{2b^3}{n}+\frac{bn^2}{3}+bn

so I'm not sure how to prove this, I can calculate this by the Fundamental Theorem
for the x^2 case you have 3 possibilities that
$A>,<=\frac{b^2}{3}$
but then this changes for the other case