Let P/Q be a proper rational function where Q(x) factors as a product of distinct linear factors

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Let P/Q be a proper rational function where Q(x) factors as a product of distinct linear factors (x − ai). Then

SPO P(x) dx Q(x)

(choose the correct answer):
(a) Is a sum of logarithmic terms Ai ln(x − ai) for some constants Ai.
(b) May contain a term involving the arctangent.

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Related Book For  answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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