Question: Integral of complex function

 

I need to calculate the following complex integral:

oint_C { [(z^4exp(2z)+1)/(z+i)^3] - [(z^3+z)/{(z-2i)(z-5)}] + 8*Pi*exp } dz,

 

Where C is the circumference |z-1| = sqrt(11/2), positively oriented.

 

Someone can help me, I already researched but I can not integrate.

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