I have been working in complex functions and this is a new animal I came across.(adsbygoogle = window.adsbygoogle || []).push({});

Let γ be a piecewise smooth curve from -1 to 1, and let

A=∫_{γ}a(x^{2}-y^{2}) + 2bxy dz

B=∫_{γ}2axy - b(x^{2}-y^{2}) dz

Prove A + Bi = (2/3)(a-bi)

In the past anything like this defined γ and I would find a parametric definition of the function γ and integrate. This seems like a completely different animal.

Does anyone have any ideas as to how to bet this one rolling?

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# Parametric definition for a complex integral

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