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

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SUMMARY

The discussion centers on solving the integration problem involving the function ##f(x) = 2\cos 3x - 3\sin 3x##. The solution was derived using the product rule applied to the derivative of ##\dfrac{d}{dx} (e^{2x} \cos 3x)##. Participants emphasized the importance of providing complete problem statements in text format rather than relying solely on images for clarity.

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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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