Hello ppl!
So I'm frustrated with this problem:
Evaluate the line integral _{c }5xy^{2}ds , where C is the right half of the circle x^{2}+y^{2}=36
So far, I've taken x=6Cos(t) and y = 6Sin(t) to parametrize a circle with radius of 6, then taken their modulus (to get rid of ds and get dt) and got 6 because rest of it cancels out..
After that I replaced the xy
^{2} with the trig. values to get 5*6*Cos(t)Sin
^{2}(t). After that when I integrate it with respect to t, 3Pi/2 < t < Pi/2 to go over only the right side of the circle, I'm getting 20, which is wrong because the browser is rejecting it as the wrong answer.. :/
I think I'm doing something really silly. Anyone wanna help?
Thanks!
-Sparrow