Integration by parts can you solve this problem please

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Homework Help Overview

The original poster seeks assistance with the integral ∫x²e^(-x³)dx, specifically requesting a solution using integration by parts. The context involves integration techniques in calculus.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Some participants suggest using substitution instead of integration by parts, proposing u = x³ as a potential simplification. Others express uncertainty about the necessity of integration by parts, questioning whether it is the best approach for this integral.

Discussion Status

The discussion reflects a variety of perspectives on how to approach the integral, with some participants advocating for substitution while others adhere to the request for integration by parts. There is no explicit consensus on the method to be used, but multiple interpretations are being explored.

Contextual Notes

The original poster emphasizes the requirement to use integration by parts, which may influence the direction of the discussion. Some participants express skepticism about the legality of certain proposed methods.

idir93
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calculate : ∫x²e-x3dx by parts please i need details :) thank you very much
 
Last edited:
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Don't use integration by parts! Let [itex]u= x^3[/itex].
 


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 !
 


Then let u= 1/3, [itex]dv= 3x^2e^{-x^3}[/itex]
 
i do not think that it's legal :) i mean that there is surely another method thank you anyway
 

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