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How to intergrate the two differentials

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contact.vincent

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Two differentials :
df1 = y(3x²+y²)dx + x(x²+2y²)dy
df2 = y(3x²+y)dx + x(x²+2y)dy

Integrate them between the points x=0,y=0 and x=1,y=1, along the path y=x and along y=x².

Which of the two differentials is an exact differential ?

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