why does ∫c dz/(1 + z^4) = 2πi [(-1/4) e^(πi/4) + (-1/4) e^(3πi/4)] = π/√2.
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What is the countour you are integrating?
C represents counterclockwise-oriented contour C consisting of the upper half circle of radius R centered at the origin ( γ) and the real axis for x in [-R, R].
Originally Posted by blueyellow C represents counterclockwise-oriented contour C consisting of the upper half circle of radius R centered at the origin ( γ) and the real axis for x in [-R, R]. Why don't you use partial fractions decomposition and then just use the residue theorem, or Cauchy's integral formulat, etc.?
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