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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Spring 2018 • Question 6

Question

Math 6210 • Real Analysis Spring 2018 • Question 6

Calculate \[ \int _\gamma (1+z^2)\sin (1/z)\,dz \] where \(\gamma \) is the unit circle traversed in the counter-clockwise direction.

Raw LaTeX

Calculate
\[
\int_\gamma (1+z^2)\sin(1/z)\,dz
\]
where \(\gamma\) is the unit circle traversed in the counter-clockwise
direction.

Topic Tags

Lebesgue Integration