What is the Correct Indefinite Integral for cos(5x) + cos(4x) / (1-xcos(3x))?

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Discussion Overview

The discussion revolves around the indefinite integral of the expression involving cosine functions and a denominator that includes a product of a variable and a cosine function. Participants explore the correctness of the integrand and potential errors in its formulation.

Discussion Character

  • Homework-related, Debate/contested

Main Points Raised

  • One participant presents an integration problem involving the expression \(\int{\frac{\cos 5x + \cos 4x}{1 - x \cos 3x}}\).
  • Another participant questions the correctness of the integrand, suggesting there may be an error.
  • A subsequent reply confirms the original sum but expresses confusion.
  • Another participant suggests that the problem could be resolved if the denominator were simply \(\cos(3x)\) instead of \(x \cos(3x)\).
  • One participant later proposes that the correct form of the integrand should be \(2 \cos(3x)\), indicating a back calculation led to this conclusion and expressing frustration over the initial mistake.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct form of the integrand, with multiple competing views regarding its formulation and potential errors.

Contextual Notes

There are indications of possible printing errors and confusion regarding the terms in the integrand, which may affect the integration process.

deydas
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Hi!

I am stuck with this integration problem:

[tex]\int{\frac{cos 5x+cos 4x}{1-xcos3x}}[/tex]

Thanks in advance.
 
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Are you sure that's the right integrand?
 
yes that's the sum alright. :confused:
 
Then you might as well resign.
 
i guess there some printing error and that's not the sum. sorry for disturbing you guys.
 
It should be possible if you have only cos(3x) in the denominator, and not xcos(3x)
 
actually after doing a back calculation, i believe it should be 2cos(3x). darn mistake, really gave me a headache.

anyways thanks for all your help.
 

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