The parametrization you need to perform is : x=t, y=t^2/2, where 0<t<2.
The function f(x,y) becomes f(t) : x^3/y=t^3/(t^2/2)=2t. The integral
gives t^2 (from 0 to 2) =4.
My final is in 6 hours. I've been slowly teaching myself line integrals and I'm stumped. Here's the problem:
Integrate f over the given curve:
f (x,y) = x3/y
C: y = x2/2
0<= x <= 2
I don't even know where to start! There's no example like this in the text. I have nothing to follow.
I know I need r(t), |v(t)|, and an interval for t, but I'm completely clueless!