Sine integral (sinc integral) question

Click For Summary

Homework Help Overview

The discussion revolves around finding the integral of a sinc function, specifically the integral of sinc(4x*sqrt(1-2/x)) from negative infinity to infinity. The subject area involves integral calculus and the properties of the sinc function.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to clarify the notation and meaning of the sinc function. There is a suggestion to express the argument of the sinc function in terms of a new variable, which leads to a transformation of the integral.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the sinc function and its integral. Some guidance has been offered regarding variable substitution, but no consensus or resolution has been reached yet.

Contextual Notes

There is some ambiguity in the original notation, and participants are questioning the clarity of the problem setup. The discussion also references external resources for further clarification.

redtree
Messages
335
Reaction score
15
How might I find the integral solution for the following:

(Sorry for the poor notation)

[tex]\int[/tex]sinc(4x*[tex]\sqrt{(1-2/x)}[/tex]) dx from -[tex]\infty[/tex] to [tex]\infty[/tex]
 
Physics news on Phys.org
i find your writting a little bit ambiguous, what is 'sinc'?
 
Put the argument of the sinc equal to u, then the integral becomes:

sin(u)/u 1/(du/dx)


Express du/dx in terms of u.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K