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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Fall 2013 • Question 10

Question

Math 6210 • Real Analysis Fall 2013 • Question 10

Evaluate \[ \int _\Gamma \frac {\sin z}{z^6}\,dz \] where \(\Gamma \) is a positively oriented simple unit circle \(\{z\in \mathbb C:|z|=1\}\).

Raw LaTeX

Evaluate
\[
\int_\Gamma \frac{\sin z}{z^6}\,dz
\]
where \(\Gamma\) is a positively oriented simple unit circle
\(\{z\in\mathbb C:|z|=1\}\).

Topic Tags

Lebesgue Integration