integral complexa com valor absoluto
Enviado: 25 Jan 2015, 15:54
calcule [tex3]\oint_\Gamma\frac{dz}{|z|}[/tex3] onde [tex3]\Gamma=\{z\in\mathbb{C};|z|=1\}[/tex3]
[tex3]z = e^{it}[/tex3]
com [tex3]0<t<2\pi[/tex3]
[tex3]dz = ie^{it}dt[/tex3]
[tex3]\oint_\Gamma \frac{dz}{|z|} = \int\limits_{0}^{2\pi} ie^{it}dt = e^{2\pi i} - e^{0i} =0[/tex3]