Question: Experiment with integrals - f(x) dx, f(x) = [(x - 1 )(x - 2 ) (x -

Experiment with integrals ∫^∞_-∞f(x) dx, f(x) = [(x - α₁)(x - α₂) · · · (x - α_k)]^-1,α_jreal and all different, k > 1. Conjecture that the principal value of these integrals is 0. Try to prove this for a special k, say, k = 3. For general k.

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The conjecture that the principal value of the integral fx dx where fx x 1x 2 x k1 and j are real an... View full answer

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