I am working on the derivation of Green's Theorem. I might have more question in later post. I am looking at this pdf file:(adsbygoogle = window.adsbygoogle || []).push({});

http://www.math.psu.edu/roe/230H/slides_14nov.pdf

In page 3, ##\int \int_R\frac{\partial N}{\partial x} dx dy=\int_c^d\int_a^{g(y)}\frac{\partial N}{\partial x} dx dy##

How is ##\int_a^{g(y)}\frac{\partial N}{\partial x} dx \;=\;N[g(y),y]\;-\;N(a,y)## as show in page 3? I don't know the steps to arrive to this.

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# Some questions on Green's Theorem.

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