CAS EXPERIMENT. Simple Poles on the Real Axis. Experiment

Chapter 16, Problem 16.4

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CAS EXPERIMENT. Simple Poles on the Real Axis. Experiment with integrals f~co f(x) dx. f(x) = [(x - al)(x - a2) ... (x - ak)r1. aj real and all different, k > L Conjecture that the principal value of these integrals is O. Try to prove this for a special k, say, k = 3. For general k.

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