Problem with Integration Problem

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Homework Help Overview

The discussion revolves around evaluating two integrals: \(\int \sin \frac{1}{x} dx\) and \(\int \sin x^2 dx\). Participants express difficulty in transforming these integrals into a solvable form.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Some participants mention the use of Taylor series for \(\int \sin x^2 dx\) and question the applicability of u-substitution and integration by parts. Others express uncertainty about the level of the problems and inquire about reduction formulas.

Discussion Status

The discussion is ongoing, with participants sharing their attempts and questioning the effectiveness of various methods. There is no clear consensus on a viable approach, but several lines of reasoning are being explored.

Contextual Notes

Some participants note a lack of familiarity with certain mathematical concepts, such as Taylor series, which may impact their ability to engage with the problems. Additionally, there are mentions of disappearing posts, which may affect the continuity of the discussion.

thereddevils
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Homework Statement



Evaluate the following integrals .

(1) [tex]\int \sin \frac{1}{x} dx[/tex]

(2) [tex]\int \sin x^2 dx[/tex]

Homework Equations





The Attempt at a Solution



i don see a way to transform those integrals to a form where i can integrate them
 
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thereddevils said:

Homework Statement



Evaluate the following integrals .

(1) [tex]\int \sin \frac{1}{x} dx[/tex]

(2) [tex]\int \sin x^2 dx[/tex]

Homework Equations





The Attempt at a Solution



i don see a way to transform those integrals to a form where i can integrate them

I know [tex]\int \sin x^2 dx[/tex] does not have an integral in terms of elementary functions so you have integrate its Taylor series or something else.
 


estro said:
Use u substitution, then integrate by parts...

Have you tried that? It does not work.
 


I have not heard of the taylor series , maybe these questions are not for my level .
 


thereddevils said:
I have not heard of the taylor series , maybe these questions are not for my level .

Ever heard of the reduction formulas?
 


zachzach said:
Have you tried that? It does not work.

There are a lot of mysterious posts by this "estro" character that suddenly disappear... it's like the Bermuda Triangle of PF!
 


The Chaz said:
There are a lot of mysterious posts by this "estro" character that suddenly disappear... it's like the Bermuda Triangle of PF!

how can that happen ? I don't see his post or he can delete his own posts ? I thought only the mods or admins can do that , this is strange.
 


The Chaz said:
There are a lot of mysterious posts by this "estro" character that suddenly disappear... it's like the Bermuda Triangle of PF!
I did delete my post, as it was foolish...
 


estro said:
I did delete my post, as it was foolish...

Don't be so hard on yourself! Plus, I like my Bermuda Triangle PF Theory better.
 

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