- #1

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[tex]\oint[/tex]e

^{(z + [1[tex]/[/tex]z])}for |z| = 1

So I guess I'm dealing with a circle with a radius 1, so I've parameterised:

z = e

^{it}

I need to sub this in to my formula of:

[tex]\int[/tex]

_{c}f(z)dz = [tex]\int[/tex]f(z(t)) z'(t)dt

(this is from [0,2pi]

However, when I go to sub that in I get an integral of an exponential to the power of an exponential. Can anyone suggest how to do that?