Problems Plus 4: Curvature from Parametric Equations that involve Integrals

In this video, I show how to obtain the curvature of parametric equations that involve integrals, by first utilizing the fundamental theorem of calculus to obtain the derivative of the position vector from the integrands of the integrals. Then we can follow the usual steps to obtain the curvature, which is defined as the magnitude of the unit tangent vector divided by the magnitude of the derivative of the position vector.

#math #calculus #curvature #vectors #vectorfunctions