Doughnut Calculus!!!
Hey guys, I need help with a somewhat big Calculus IV problem. We are reviewing double and triple integrals in polar coordinates. So here is my problem:
Work out the mass, 2nd moment, and radius of gyration for a doughnut shaped yoyo about both x and y axes...
I...
i think you should look at that equation as so...
∫f(x)g'(x)dx = f(x)g(x)-∫g(x)f'(x)dx
for example a simple integral:
Find ∫x sinx dx.
∫x sinxdx= f(x)g(x)-∫g(x)f'(x)dx
= x(-cosx)-∫(-cosx)dx
= -x cosx + ∫cosx dx...