Having trouble with this question, I need to calculate the line integral of

2xsin(y) dx + (x^2 * cos(y) - 3y^2)

with the given parametrization r(t) = (t*cos(t), t^2*sin(t))
with 0

Question

Having trouble with this question, I need to calculate the line integral of

2xsin(y) dx  + (x^2 * cos(y) - 3y^2)

with the given parametrization r(t) = (t*cos(t), t^2*sin(t))
with 0 <= t <= 2pi

anonymous · Answer

are you sure about the first line of the problem, something is messing?

anonymous · Answer

The first line isn't in any way connected to the parametrization...maybe double check what you put down?

anonymous · Answer

its missing a dy at the end

anonymous · Answer

yeah that's what I thought.. okay I will try it

anonymous · Answer

Or is it? :P Is x supposed to equal t*cos(t) and y supposed to equal t^2*sin(t)? (haven't done parametric equations yet, but I want to give it a shot).

anonymous · Answer

^^
yes

anonymous · Answer

http://1337.is/~gaulzi/tex2png/view.php?png=201103301610252648.png better look of this :p