Find ##f(x)## in the problem involving integration

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Homework Help Overview

The discussion revolves around a problem involving integration, specifically focusing on finding the function f(x) in the context of a textbook problem. Participants are examining the correctness of a proposed solution and the methods used to derive it.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to derive f(x) using the product rule on a specific expression. Some participants affirm the solution while others emphasize the importance of providing complete problem statements for clarity.

Discussion Status

The discussion is ongoing with some participants expressing agreement with the original poster's solution. However, there is a noted concern regarding the clarity of problem statements, indicating a mixed focus on both the solution and the presentation of the problem.

Contextual Notes

There is a mention of a potential error in the textbook solution, which raises questions about the assumptions made in the problem setup. Additionally, participants are encouraged to avoid using pictures exclusively for problem statements.

chwala
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Homework Statement
see attached
Relevant Equations
integration
Q. 3(b).

This is a textbook problem; unless i am missing something ...the textbook solution is wrong!

1668594868120.png


solution;

1668594967605.png


Mythoughts;

##f(x)=2\cos 3x-3\sin 3x## ...by using the product rule on ##\dfrac{d}{dx} (e^{2x} \cos 3x)##.
 

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Your solution seems fine.
 
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Please get in the habit of posting full problem statements without expressing them exclusively with pictures.
 
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nuuskur said:
Please get in the habit of posting full problem statements without expressing them exclusively with pictures.
Noted.
 
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