Chapter 13.4, Problem 35E

To determine

Plot the clothoid and determine the curvature of curve $\langle x(t),y(t)\rangle$ where $x(t)={\displaystyle \underset{0}{\overset{t}{\int }}\sin \frac{u^3}{3}}du,y(t)={\displaystyle \underset{0}{\overset{t}{\int }}\cos \frac{u^3}{3}}du$.