use the simpsons rule with n=10, arc length y=^3sqaure root x, for 1<=x<6

y = x^(1/3) ?????

h = (6-1)/10 = .

x____________ y
1____________ 1
1.5 _________ 1.145
2____________ 1.260
2.5__________ 1.357
3 etc etc etc
3.5
4
4.5
5
5.5
6
integral is about (.5/3)(y0+4y1+2y2+4y3
+2y4 ......+1y10)