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Problem. Mike integrated a rational function P(x) where deg P(r) = 3 and deg Q(x) = 2. Q(x)' His little sister stopped by in his room while he was away and made nice decorations in Mike's answer: x + In( + arctan(x + 1) + C Poor Mike! Help him to restore his answer. Provide a detailed reasoning and calculation. Answer alone will give no credit. Is it possible to figure out what are P(r) and Q(x)? If yes, explain how to get them. If no, explain why.

Problem. Mike integrated a rational function P(x) where deg P(r) = 3 and deg Q(x) = 2. Q(x)' His little sister stopped by in his room while he was away and made nice decorations in Mike's answer: x + In( + arctan(x + 1) + C Poor Mike! Help him to restore his answer. Provide a detailed reasoning and calculation. Answer alone will give no credit. Is it possible to figure out what are P(r) and Q(x)? If yes, explain how to get them. If no, explain why.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Problem. Mike integrated a rational function P(x) where deg P(x) = 3 and deg Q(x) = 2. Q(x)' His little sister stopped by in his room while he was away and made nice decorations in Mike's answer: x + In( + arctan(x + 1) + C Poor Mike! Help him to restore his answer. Provide a detailed reasoning and calculation. Answer alone will give no credit. Is it possible to figure out what are P(r) and Q(x)? If yes, explain how to get them. If no, explain why.
Transcribed Image Text:Problem. Mike integrated a rational function P(x) where deg P(x) = 3 and deg Q(x) = 2. Q(x)' His little sister stopped by in his room while he was away and made nice decorations in Mike's answer: x + In( + arctan(x + 1) + C Poor Mike! Help him to restore his answer. Provide a detailed reasoning and calculation. Answer alone will give no credit. Is it possible to figure out what are P(r) and Q(x)? If yes, explain how to get them. If no, explain why.
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