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## Homework Statement

∫[itex]_{\gamma}[/itex](x-y)dz where [itex]\gamma[/itex] has parametrization: z(t) = e[itex]^{it}[/itex] for [itex]\pi[/itex]/2 [itex]\leq[/itex] t [itex]\leq[/itex] 3[itex]\pi[/itex]/2

## Homework Equations

the integral of the sum is the sum of the integral

## The Attempt at a Solution

I tried to break it up and see if I could evaluate it as I normally would but it started to get really messy and I think I was going about it wrong.

z=exp(it) and dz=iexp(it)

∫(x)dz - i∫(y)dz

can someone please push me into the right direction? thank you