I want to show that the integral from -1 to 1 of z^i = (1-i)(1+exp(-pi)/2(adsbygoogle = window.adsbygoogle || []).push({});

where the path of integration is any contour from z=-1 to z=1 that lies above the real axis (except for its endpoints).

So, I know that z^i=exp(i log(z)) and the problem states that |z|>0, and arg(z) is between -pi/2 and 3pi/2. But we didn't study how to integrate z^(complex number) in class, and I"m really confused on how to do this.

So, how do I integrate this?

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# Homework Help: Quick complex analysis (integration) question

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