Eval

$\displaystyle \frac{1}{2\pi i}\oint\frac{e^{tz}}{(z^2+1)^2}dz$ if t>0 and C is the circle {|z|=3}

Hmm...

Am I suppose to parameterise something?

I can write for example z(t)=3e^{it} then dz = 3i e^{it}dt and sub it back in, but that just makes it messy and complicated.

Am I missing an easier way?