Thread 'How to define path if we only know velocity (without having typical formulation)?' Howdy! I invented the challenge and I try to solve it: Allow we only know velocity of going particle: ##v(t)## from ##t=a## to ##t=b##. There appears to be no way of simplifying or rearranging the integral. https://gabletoppak.com/why-paper-water-bottles-are-gaining-popularity-in-kerala/