Integrating e^(x^2)dx: Tips and Tricks for Solving Diff Eq Problems

  • Thread starter Thread starter itzela
  • Start date Start date
  • Tags Tags
    Integration
Click For Summary

Homework Help Overview

The discussion revolves around the challenge of integrating the function e^(x^2) in the context of a differential equations problem. Participants are exploring methods to approach this integral, which is known to be complex.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • One participant attempts substitution but finds it ineffective. Another notes the absence of a simple expression for the integral, while a third suggests evaluating definite integrals using double integrals and polar transformation, or considering polynomial expansion for indefinite integrals.

Discussion Status

The discussion is active, with participants sharing insights about the nature of the integral and exploring different approaches. Some guidance has been provided regarding the limitations of the integral and alternative methods for evaluation.

Contextual Notes

Participants are navigating the complexities of integrating e^(x^2), with some assumptions about the type of integral (definite vs. indefinite) influencing the discussion.

itzela
Messages
34
Reaction score
0
I'm doing a diff eq problem and I got stuck on the part where I have to integrate
e^(x^2)dx. I tried using substitution but that didn't work :confused: ... any ideas?
 
Physics news on Phys.org
There's a good reason why you're getting stuck - there is no simple expression for the integral you're trying to evaluate.
 
itzela said:
I'm doing a diff eq problem and I got stuck on the part where I have to integrate
e^(x^2)dx. I tried using substitution but that didn't work :confused: ... any ideas?


if it is definite integral you can evaluate by double integral and transformation to polar. if it is indefinite, a good way to evaluate it is integrate its polynomial expansion. but itself doesn't have an antiderivative
 
Got it =) Thanks for pointing me in that direction.
 

Similar threads

Solve ##\int\frac{e^{-x}}{x^2}dx## and ##\int \frac{e^{-x}}{x}dx##
  • · Replies 7 ·
Replies
7
Views
2K
Integration of acceleration in polar coordinates
  • · Replies 24 ·
Replies
24
Views
4K
Solve integral by finding Fourier series of complex function
  • · Replies 3 ·
Replies
3
Views
2K
Improper integral of a normal function
  • · Replies 7 ·
Replies
7
Views
2K
Arc length of vector function - the integral seems impossible
  • · Replies 2 ·
Replies
2
Views
2K
Integrate (xsinx - cosx)/x^2 with Intro Calc Techniques
  • · Replies 3 ·
Replies
3
Views
2K
Solve p = P(2X <= Y^2) using double integral
  • · Replies 4 ·
Replies
4
Views
2K
Solve the given first order differential equation
  • · Replies 8 ·
Replies
8
Views
2K
Volume between a region (above x-axis and below parabola) and a surface
  • · Replies 4 ·
Replies
4
Views
3K
Prove that the integral is equal to ##\pi^2/8##
  • · Replies 105 ·
4
Replies
105
Views
11K