Monosymmetry section constant

[ADrunkenMan]

I need some help in calculating the monosymmetry constant for a unique cold foremd steel section.
SO far all i can find is the formula for it which involves a rather nasty looking intergration.
If anyone knows much about this or is good at maths, please give me a hand.
Cheers

 

[apsix]

From ‘The Behaviour and Design of Steel Structures’ by NS Trahair and MA Bradford, Chapman and Hall, 1988.

An approx. method is given where the monosymmetry constant for a monosymmetric I-beam is;

[β] _x = 0.9*h*(2*[ρ] _m – 1)*(1-I_y^2/I_x^2)

Where;
[ρ] _m = I_yc/ I_y

And;
I_yc is the section minor axis second moment of area of the compression flange.

And;
h is the distance between the centroids of the compression and tension flanges.