Question: Elliptic integral

How do I make the evaluation of this Elliptic integral faster? >c12:=2*sqrt(2)*int(sqrt(3*t^2-2*t*(sqrt(2)+2)+2*sqrt(2)+3)*sqrt(3*t^2*(17-12*sqrt(2))+2*t*(29*sqrt(2)-41)-24*sqrt(2)+34),t=0..1): > evalf(c12,32); 1.5710166980738556513064017544723 - -28 0.24579031714044391948173350026764 10 I > Maple generated 152 pages of equations to solve this integral. This is how I generated this integral: http://www.getnet.net/~cherry/derive/circle1.doc I solved the problem using symmetric Elliptic integrals. Maple does not support symmetric Elliptic integrals. The solution is: length=1.571016698073855651306401754421681
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