Checking solution to integration by parts with e

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The discussion revolves around integrating the function 4xe^(4x). The user initially presents their solution as 4[1/4xe^(4x)-1/16e^(4x)+c], which simplifies to xe^(4x)-1/4e^(4x)+c. They seek confirmation on the correctness of this integral. The suggestion to verify the solution by differentiating is acknowledged positively. The conversation highlights the importance of peer support in solving mathematical problems.
lonewolf219
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Hi, I'm wondering how to integrate 4xe^(4x).


I got:

4[1/4xe^(4x)-1/16e^(4x)+c] ?

which reduces to

xe^(4x)-1/4e^(4x)+c

Is this the correct integral?

Thanks.
 
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check by differentiating
 
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