Evaluate \[ \int_{|z-i|=10}\left(z+\frac1z\right)^4\,dz \] and \[ \int_{|z|=4}\left(\frac{\sin z}{z}\right)^{100}\,dz. \]
Two contour integrals on large circles
P-WESCA08-II2
- Area
- Complex Analysis
- Seen at
- WESLEYAN
- Years
- 2008
- Status
- draft
P-WESCA08-II2
Evaluate \[ \int_{|z-i|=10}\left(z+\frac1z\right)^4\,dz \] and \[ \int_{|z|=4}\left(\frac{\sin z}{z}\right)^{100}\,dz. \]