Help for a "Surface and Flux integrals" program

[AlexFekken]

(11-04-2017 10:38 AM)salvomic Wrote:  EDIT: add:
But, if the result now correspond a that of the book, why in the Prime, doing this integral \( \int_{\sigma }1dS=\iint\sqrt{4u^2+4v^2+1}dudv=\int_{0}^{1}\int_{0}^{2\pi }\rho \sqrt{1+4\rho ^2}d \rho d\theta = \frac{\pi }{6} (5^\frac{3}{2}-1) \) we get a different result? Am I wrong with its input? or the book's example is not so clear...

Salvo

What exactly is the calculation that you carried out on the Prime that gave an incorrect result?