# Math Help - Contour Integral - I've done it but not sure if i'm correct.

1. ## Contour Integral - I've done it but not sure if i'm correct.

Compute $\int_C \bar{z} dz$ where C is the circle $|z|=2$ traversed three times, clockwise.

ok, so just wondering if i have done this correctly?

$z(t)=2e^{-\pi i t}$ , $0 \leq t \leq 6$

$\bar{z} = 2e^{\pi i t}$

$dz= -2i\pi e^{-\pi i t}$

$\int_C \bar{z} dz = \int_0^6 (2e^{\pi i t})(-2i\pi e^{-\pi i t})dt$

$-4\pi i [t \big|_0^6$

$-24\pi i$

2. ## Re: Contour Integral - I've done it but not sure if i'm correct.

It looks fine