Integration by parts can you solve this problem please

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idir93
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calculate : ∫x²e-x3dx by parts please i need details :) thank you very much
 
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Is it necessary to solve this using integration by parts? There's a nice substitution that makes the integral straightforward. I couldn't easily see a nice way to separate the integral.
 


i know that i can do it with u-substitution but I'm asked to integrate it by parts !
 
i do not think that it's legal :) i mean that there is surely another method thank you anyway