(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find a formula for:

[itex]\int[/itex][itex]1/(z-a)^{m}(z-b)^{n}[/itex]dz

around a ball of radius R, centred at z_{0}

where |a| < R < |b| and m,n[itex]\in[/itex]N.

2. Relevant equations

Not sure which equations to use, a cauchy integral formula maybe...?

3. The attempt at a solution

I've attempted to split the fraction up into partial fractions, so that the integral is now:

[itex]\int[/itex][itex]1/(z-a)^{m}(b-a)^{n}[/itex]+[itex]1/(z-b)^{n}(b-a)^{m}[/itex]dz

but I don't think this has made it any easier to solve...

any suggestions?

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# Complex analysis formula for an integral

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