Contour Integral of 5z^4+z^3+2: Finding a Square Contour

[doey]

Homework Statement

given 5z^4+z^3+2

Homework Equations

the question asking me to find the contour integral of thi function in the
C circle of |z|=1. then how about if the Contour is a square with point [0,0][1,0][1,i][0,i] ?

The Attempt at a Solution

i have no idea abt how to do and i attempt to factor up to
z^4[5+ (1/z) +(2/z^4)] and then juz 2∏i(coefficient of 1/z) am i wrong?
and i totally no idea of my pole for the square contour [0,0][1,0][1,i][0,i], anyone pls help me !

 

[Dick]

Homework Statement

given 5z^4+z^3+2

Homework Equations

the question asking me to find the contour integral of thi function in the
C circle of |z|=1. then how about if the Contour is a square with point [0,0][1,0][1,i][0,i] ?

The Attempt at a Solution

i have no idea abt how to do and i attempt to factor up to
z^4[5+ (1/z) +(2/z^4)] and then juz 2∏i(coefficient of 1/z) am i wrong?
and i totally no idea of my pole for the square contour [0,0][1,0][1,i][0,i], anyone pls help me !

Your function doesn't have any poles. Does it?