A bonus question on one of my first calculus quizzes tomorrow for the semester:
V=2g(1-costheta) ... compute the average Potential Energy over the interval [pi/4, pi/3]
Solve in terms of g
So I set it up and went through the motions...but am kind of stuck
v= 2g - 2gcos(pi/3) - 2g - 2gcos(pi/4) / pi/3 - pi/4
... then what?