Mastering Integration by Parts: Tips and Tricks for Solving Difficult Problems

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Homework Help Overview

The discussion revolves around a challenging integration problem, specifically focusing on the technique of integration by parts. Participants are exploring strategies to tackle the problem presented in an image link.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • One participant suggests rewriting the integral in a specific form to facilitate solving it. Another participant acknowledges this suggestion and expresses intent to follow it. A third participant provides a version of the integration by parts formula, emphasizing a preference for certain variable notations.

Discussion Status

The discussion is active, with participants sharing insights and strategies. While there is no explicit consensus, guidance has been offered regarding the integration by parts technique and notation preferences.

Contextual Notes

The original poster has shared an image of the problem, which may limit the ability to discuss specific details without viewing the content. There is also mention of differing notational conventions in older texts.

Spectre32
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I'm stuck on this one problem. If anyone can aid me, I would greatly appericate it.


http://home.comcast.net/~personalcomp1/Impossible_calc_problem.JPG

I scaned in the problem sooo there's the place to view it.



Thanks
 
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you can write it as sec^(n-2)x*sec^2xdx and see where that takes you.
 
Roger that.. i'll do that and see where that takes me.
 
Here's the neater version (avoid the f(x) and g(x)'s when solving problems) of the integration by parts rule:

[tex] \int u dv = uv - \int v du[/tex]

Now follow Parth Dave's advice. I mentioned this as some old books still use f(x) and g(x) instead of the neater looking u and v. (Oh well, you might use f and g instead of u and v ;-))

Cheers
Vivek
 

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