Compute \[ \int_{\bd\DD} {e^z\over z^2}\dz .\]
Solution
By Cauchy’s integral formula for the derivative, with \(f(z)=e^z\), \[ \int {f(z) \over (z-0)^2}\dz = 2\pi i f^{(1)}(0) = 2\pi i .\]
$\int_{\partial\DD}\frac{e^z}{z^2}\,dz$
E-4F5TF
- Area
- Complex Analysis
- Topics
- Cauchy Integral Formula, Contour Integration
- Status
- draft