Hey talisman.
Can you use contour integration and the magnitude of said result by using the fact that the contour is a closed contour (so it will involve a 2*pi*i)?
I curently have started reading differential geometry from these notes http://www.matematik.lu.se/matematik...igma/Gauss.pdf and I am trying to solve the exercise 2,7 which says:
Let the positively oriented parametrize a simple closed curve by arclength. Show that if the period of is then the total curvature satisfies .
Any idea?