In polar form use. In this section we use definite integrals to find the arc length of a curve. 0 t 1.
642 Determine the length of a curve x gy between two points.
Use the arc length formula to find the length of the curve y 3x 2 3 x 1. Eqdisplaystyle L int_ab sqrt1 y2dx eq where eqy eq. The formula to find the length of a curve is defined as follows. All we need to do is add a z term to the formula for the arc length of a plane curve.