While going through the derivation of contact time for a hertzian contact as given in problem 3 at the following link s17.postimg.org/t1kq6mlxr/Capture.png , I am not able to understand how the integral form for contact time has come into picture. I understand that this is a very trivial problem but it will be a great help to understand the steps.

@rcty I am not sure, but maybe you might have better luck asking folks form Physics.SE. I have mentioned your message in their chat room: chat.stackexchange.com/transcript/message/26841139#26841139

@MartinSleziak any ideas on why the result of an unbroken function's integration requires me to remove breaks? This seems a bit counter-intuitive.