The arc length is then given by. The Arc Length of a Parabola Let us calculate the length of the parabolic arc y x2. Since the parabola.
Show that the approximation in step 2 leads to this integral formula for the length of the curve.
Yx24p where p is the focal distance of the parabola. X - 1² -8 y 2 From this equation we come to know that the given parabola is symmetric about y axis and it is open upward. According to the arc length formula La Z a 0 p 1 y0x2 dx Z a 0 p. The Arc Length of a Parabola Let us calculate the length of the parabolic arc y x2.