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arc length of ( 2*cos(t),sin(t) ) from t=0 to 2*pi
arc length of x=1-sin(t), y=t-cos(t) from t=0 to 2*pi
arc length of x=cos(t), y=sin(t), z=t, t from 0 to 10*pi
curve (y-1/x)*(y-(-x^2+3))=0, -1 < x < 3
intersections y=1/x , y=-x^2+3
area between y=1/x, y=-x^2+3 from x=0.3472963553338606977 to x=1.53208888623795607040
          (0.885376158860366973)

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