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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Parametric definition for a complex integral

**Physics Forums | Science Articles, Homework Help, Discussion**