who_loves_maths
I wanna be a nebula too!!
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- 2005
i hate to be the one looking for mistakes, but... how does 4pi/sqrt3*(pi/3) = sqrt3*(pi^2/27)? (in bold)Originally Posted by Slide_Rule
So taking into account the division by two earlier, and the limits:
4pi/sqrt(3) [arctan(tan(u/2)/sqrt(3))] from 5pi/2 to 3pi/2
= 4pi/sqrt(3)*[pi/6+pi/6]
=sqrt3.pi^2/27
I think that was too long. I think I made a mistake.
i think you mean 4pi/sqrt3*(pi/3) = (4sqrt3/9)*(pi^2) ? = [approx.] 7.60