hello again, sorry for asking so many questions, i just want to make sure if im correct or not
calculate the line integral y^2dx+x^2dy where line C is the triangle with sides x=1, y=0 and y=x
The Attempt at a Solution
first of all i tried to find a customization of the line
we know that x = 1 hence it will be like this
r(t) = (1,t) but im not sure if it's correct
then i said that the integral would be this
could I just use Green's theorem?
I mean using Greens theorem I get the same result
im 99% sure that greens theorem is correct, i mean the way i implemented it, but is the first way i showed also correct?
thanks in advance
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