Show that a triple integral of (x 2 + y 2 + z 2 + 1)2 over

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Show that a triple integral of (x2 + y2 + z2 + 1)−2 over all of R3 is equal to π2. This is an improper integral, so integrate first over ρ ≤ R and let R → ∞.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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