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by anastasispk
Thu Nov 26, 2015 5:42 pm
Forum: Multivariate Calculus
Topic: Do such functions exist?
Replies: 3
Views: 4087

Re: Do such functions exist?

Good evening. Let's suppose vector field $\displaystyle \vec{F} = \bigtriangledown f = \left(\frac{-y}{x^2+y^2}, \frac{x}{x^2+y^2} \right ) = \left(P(x,y),Q(x,y)\right )$ $\displaystyle P(x,y) = \frac{-y}{x^2+y^2} \Rightarrow f(x,y) = \int P(x,y) dx= \int -\frac{y}{x^2+y^2}dx + g(y)$ $g(y)$ is a fun...