MAT334--2020F > Chapter 1

Section 1.6.2, Question 19.


The question is:
Suppose that ∫(Pdx+Qdy)=0 holds for each closed curve γ in D. Show that Pdx+Qdy is an exact differential.

I have tried following the hint but keep getting dH/dx = P(x,y) - P(x0,y0).
Any help would be appreciated!


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