Domain and Evaluation of Double Integral with Integration by Parts

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Homework Help Overview

The discussion revolves around the evaluation of a double integral involving the function \( e^{-x^{3}} \) and the use of integration by parts. Participants are exploring the existence of the integral in terms of elementary functions and the domain of integration.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • One participant attempts to use integration by parts but finds it unhelpful. Another questions whether the integral exists in elementary terms and asks for clarification on the context of the problem. There are also repeated requests to sketch the domain of integration for the double integral.

Discussion Status

The discussion is ongoing, with participants questioning the nature of the integral and its evaluation. Some guidance has been offered regarding the existence of the integral, but no consensus has been reached on the approach or interpretation of the problem.

Contextual Notes

There are indications of confusion regarding the formulation of the problem, particularly with one participant questioning the relevance of another's posts. The need for clarity on the original question is emphasized.

2RIP
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Homework Statement


How can i find the integral of [tex]\int e^{-x^{3}}dx[/tex]


Homework Equations





The Attempt at a Solution


I tried using integration by parts, but it doesn't seem to give a nice way to solve either.
 
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I do not believe this integral exists in terms of elementary functions. Is it part of a question? If so, post the question.
 


Sketch the domain of integration of the integral [tex]\int^{1}_{0}dy\int^{1}_{\sqrt{y}} e^{-x^{3}}dx[/tex] and then evaluate it.
 


2RIP said:
Sketch the domain of integration of the integral [tex]\int^{1}_{0}dy\int^{1}_{\sqrt{y}} e^{-x^{3}}dx[/tex] and then evaluate it.

Are you answering you own question? If so, that's nonsense.
 

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