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

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The discussion centers on a textbook problem regarding the integration of a function, where the original poster believes the textbook solution is incorrect. The proposed solution for the function is f(x) = 2cos(3x) - 3sin(3x), derived using the product rule on the derivative of e^(2x)cos(3x). Participants emphasize the importance of providing complete problem statements in text format rather than images. The conversation highlights the need for clarity in problem presentation to facilitate better understanding and resolution.
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.
 
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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