Mathematics · Complex Analysis

Let a, b be two real numbers such that a < 0 < b. For a positive real number r, define γ r (t) = re it (where t &in; [0, 2π]) and I r = 1 2πi ∫ γ r z 2 + 1 (z - a)(z - b) dz. Which of the following statements is necessarily true?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

I r = 0 if r > max {|a|, b} and |a| = b

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