The limits are actually and .
∫c (x^2+y^2)dx + (x^2+y^2)dy , C is defined by y=x , y=(1/6)x^2 , 0<x<6
For the limits I'm doing dydx, so:
y is from 0 to x
x is from 0 to 6
∫c (x^2+y^2)dx + (x^2+y^2)dy
= ∫∫2x-2y dydx = 2xy-y^2 from 0 to x
= ∫x^2 dx = (1/3)x^3 from 0 to 6 = 72.
I got it wrong... what did I do wrong and what is the correct answer?
http://assets.openstudy.com/updates/...e_integral.png something like this