Integration by parts can you solve this problem please

[idir93]

calculate : ∫x²e^-x3dx by parts please i need details :) thank you very much

 

[HallsofIvy]

Don't use integration by parts! Let u= x^3.

 

[aeroplane]

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.

 

[idir93]

i know that i can do it with u-substitution but I'm asked to integrate it by parts !

 

[HallsofIvy]

Then let u= 1/3, dv= 3x^2e^{-x^3}

 

[idir93]

i do not think that it's legal :) i mean that there is surely another method thank you anyway