Complex Analysis/Exercises/Sheet 4
Exercise on Complex Analysis
editProblem (Integrals, 5 points)
editLet , denote the standard parametrization of the unit circle. Determine the integral
Hint: Use the geometric series to express in the form . Then integrate term by term, using the first problem from the previous exercise sheet.
Problem (Antiderivatives, 5 points)
editProve that there is no function such that .
Problem (More Integrals, 5 points)
editLet , and let denote the semicircle consisting of , followed by . Determine
Problem (Length, 5 points)
editDetermine the length of the unit circle, , .
Translation and Version Control
editThis page was translated based on the following Wikiversity source page and uses the concept of Translation and Version Control for a transparent language fork in a Wikiversity:
- Source: Kurs:Funktionentheorie/Übungen/4._Zettel - URL:
https://de.wikiversity.org/wiki/Kurs:Funktionentheorie/Übungen/4._Zettel
- Date: 01/14/2024