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Complex integration

Hello folks.

I'm probably missing something really simple, but how do i calculate the integral of (5z^4 -3)/(z^5 - 3z +1) around the unit disk?

I'm trying to find the number of zeros inside it, you see.

Thanks!
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Original post by Sun Ra and his Arkestra
Hello folks.

I'm probably missing something really simple, but how do i calculate the integral of (5z^4 -3)/(z^5 - 3z +1) around the unit disk?

I'm trying to find the number of zeros inside it, you see.

Thanks!


I'd personally use the residue theorem :smile:
I take it this is 2nd year stuff?

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