Integration of tan^2 x from - to + infinity

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    Infinity Integration
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Discussion Overview

The discussion revolves around the integral of tan² x from negative to positive infinity. Participants explore the convergence of this integral and its context within quantum mechanics, while also addressing forum norms regarding homework assistance.

Discussion Character

  • Debate/contested, Homework-related

Main Points Raised

  • One participant claims that the integral does not converge, suggesting a relationship to the derivative of tan x.
  • Another participant mentions that the integral appeared in a sum related to quantum mechanics.
  • There is a discussion about the norms of the forum, emphasizing the importance of showing work for homework-related queries.
  • A participant expresses uncertainty about whether the inquiry is homework or not, indicating a need for clarification.

Areas of Agreement / Disagreement

Participants generally agree that the integral does not converge, but there is no consensus on the context of the inquiry or whether it qualifies as homework.

Contextual Notes

The discussion includes assumptions about the nature of the integral and its application in quantum mechanics, but these assumptions are not fully explored or resolved.

Who May Find This Useful

Readers interested in calculus, particularly in the context of physics and quantum mechanics, as well as those looking for guidance on forum etiquette regarding homework assistance.

stringsofphysics
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TL;DR
integral from minus to plus infinity of tan^2 x
∫tan^2 x ( -infinity to +infinity)
 
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This integral doesn’t converge. (Hint: ##1+\tan^2x=\frac{d}{dx}\tan x##)

Is there a certain context in which this appeared?

P.S. I assume the last thread was deleted by a mod. If so, this will probably also be deleted. You should provide your own efforts to solve the problem.
 
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Thank you for the reply, it appeared in a part of sum in quantum mechanics.

P.S. I am new to Physics forum. Sorry, not used to its norms
Thanks for inputs!
 
stringsofphysics said:
Thank you for the reply, it appeared in a part of sum in quantum mechanics.

P.S. I am new to Physics forum. Sorry, not used to its norms
Thanks for inputs!
If it's homework, and you would like help, we would like to help you with your homework in order to help you to learn; however, we don't want to just plain do it for you ##-## as @suremarc indicated, you should make and show an attempt ##-## and please use ##\mathrm {\LaTeX}## ##-## if it's not homework, please let us know ##-## your reply that included your saying "it appeared as part of a sum in quantum mechanics" leaves whether it's homework or not as something of a curiosity ##\dots##
 
Last edited:
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@stringsofphysics has been asked to repost in the schoolwork forums and show their work so that we can provide more tutorial help. This thread is closed.
 

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