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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Fall 2019 • Question 10

Question

Math 6210 • Real Analysis Fall 2019 • Question 10

Compute \[ \int _0^{2\pi }\frac {d\theta }{4+\cos (\theta )} \] using the methods of complex analysis.

Raw LaTeX

Compute
\[
\int_0^{2\pi}\frac{d\theta}{4+\cos(\theta)}
\]
using the methods of complex analysis.

Topic Tags

Fourier Analysis and Convolution Lebesgue Integration