Integrating ∫ex3 dx: Utilizing U-Substitution

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Homework Help Overview

The discussion revolves around the integral ∫ex^3 dx, with participants exploring methods for integration, particularly focusing on the challenges posed by the function involved.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss various integration techniques, including integration by parts and series expansion. There is uncertainty about the applicability of standard functions for this integral, and one participant mentions a potential misunderstanding related to a larger problem context.

Discussion Status

The conversation is ongoing, with some participants suggesting different methods while others express confusion about the appropriate approach. There is no clear consensus, but multiple strategies are being considered.

Contextual Notes

One participant notes that the integral is part of a larger problem involving integration by parts, and there is a mention of not having learned series yet, indicating potential constraints in knowledge or resources.

e^(i Pi)+1=0
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Homework Statement



∫ex3 dx ?

The Attempt at a Solution



no idea
 
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have you tried integration by parts ?
 
I don't think you can using 'standard' functions.
 
There's no "nice" function that will be a solution to this integral. You need to write it out as a series and integrate term by term. Your solution will be in series form
 
Hmm, then I must have done something wrong earlier. It's part of a larger integration by parts problem, and we haven't learned series yet.
 
∫x2ex3dx
 
Lol, never mind. I can solve this with U-sub.
 

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