Strange Integral- Does it even exist?

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Discussion Overview

The discussion revolves around the evaluation of a strange integral as presented in a video by DonnyLee. Participants are exploring the choices of substitution in integration, specifically questioning the validity of certain expressions and relationships between variables.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions the choice of substitutions made in the integral, specifically whether picking u=x and du=dx is appropriate, and whether v equals the integral of x times dy/dx.
  • Another participant requests the link to the video for clarification.
  • A later reply provides the correct link to the video for others to view.
  • One participant proposes that u should equal y, with du expressed as dy/dx * dx, and suggests that dv equals the derivative of x with respect to x, leading to v being equal to x.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the validity of the substitutions or the relationships between the variables, indicating that multiple views remain contested.

Contextual Notes

There are unresolved assumptions regarding the definitions of the variables and the steps taken in the integration process, which may affect the clarity of the discussion.

The_ArtofScience
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I was watching DonnyLee's videos on youtube and I noticed something strange. I think he picked u=x and du=dx, and if I'm right (?) he picked v= \int x dy/dx but does that even equal to y? But that can't be right because the right side kept the original expression. Some help might clear up the fuzziness
https://www.youtube.com/watch?v=<object width="425" height="344"><param name="movie" value="http://www.youtube.com/v/GAkkTa2XpEc&hl=en&fs=1"></param><param name="allowFullScreen" value="true"></param><embed src="http://www.youtube.com/v/GAkkTa2XpEc&hl=en&fs=1" type="application/x-shockwave-flash" allowfullscreen="true" width="425" height="344"></embed></object>
 
Last edited by a moderator:
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can't see any video... give the link
 
I believe:

u = y. du = dy/dx * dx.
dv = d/dx* x * dx. v = x.
 

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