Bezier Curve Help

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Michael Reitzenstein

I've got some good news. The equation is simply:

Int((9*x1^2+18*x2*x4*t^2+36*x2*x3*t-18*x1*x4*t^2-36*x1*x3*t+126*x1*x3*t^2-216*x1*x2*t^2+36*x3*t^3*x4-54*x3*t^4*x4+54*x2*t^4*x4-162*x2*t^4*x3-72*x2*t^3*x4-198*x2*t^2*x3+324*x2*t^3*x3-18*x1*t^4*x4+54*x1*t^4*x3-54*x1*t^4*x2+36*x1*t^3*x4-144*x1*t^3*x3+180*x1*t^3*x2+18*y2*y4*t^2+36*y2*y3*t-18*y1*y4*t^2-36*y1*y3*t+126*y1*y3*t^2-216*y1*y2*t^2+108*y1*y2*t+36*y3*t^3*y4-54*y3*t^4*y4+54*y2*t^4*y4-162*y2*t^4*y3-72*y2*t^3*y4-198*y2*t^2*y3+324*y2*t^3*y3-18*y1*t^4*y4+54*y1*t^4*y3-54*y1*t^4*y2+36*y1*t^3*y4-144*y1*t^3*y3+180*y1*t^3*y2+9*y4^2*t^4+36*y3^2*t^2+81*y3^2*t^4-108*y3^2*t^3+9*y2^2+81*y2^2*t^4-72*y2^2*t+198*y2^2*t^2-216*y2^2*t^3+9*y1^2*t^4-36*y1^2*t^3-18*y1*y2+54*y1^2*t^2-36*y1^2*t+9*x4^2*t^4+36*x3^2*t^2-108*x3^2*t^3+81*x3^2*t^4+9*x2^2+81*x2^2*t^4+108*x1*x2*t+9*y1^2+dzt^2-18*x1*x2+54*x1^2*t^2-36*x1^2*t-36*x1^2*t^3+198*x2^2*t^2+9*x1^2*t^4-72*x2^2*t-216*x2^2*t^3)^(1/2),t = 0 .. 1)

Maple refuses to integrate it though, and I don't think I'll be able to integrate it by hand...