Integral involving partial fractions and roots

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Homework Help Overview

The discussion revolves around an integral problem involving partial fractions and roots. Participants are exploring the steps necessary to simplify the integral and address issues related to factoring the denominator.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to factor the denominator and apply partial fractions. There are attempts to clarify the setup of the integral and the challenges faced in simplifying it correctly.

Discussion Status

The discussion is active, with participants providing guidance on factoring and simplifying the integral. There is recognition of the original poster's efforts and the need for further clarification on the partial fractions approach.

Contextual Notes

Participants note that the original poster has left the equation unaltered for completeness, indicating a potential misunderstanding in the application of partial fractions. There is an acknowledgment of the common factor present in both the numerator and denominator that may simplify the problem.

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PS. Just wanted to say thanks for all the help so far. This is a really great forum and I am receiving tons of help. I like how people here are not just blurting the answers, but are actually feeding me ideas so that I may work them out. Everyone here is really helping me learn this stuff! Thanks again. :smile:
 
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Well, you forgot to do partial fractions! (e.g. you didn't factor the denominator...)
 
:-p haha... I know the demoninator is not factored there. I just left the equation like that so it was complete for the posting. I know I have to factor it and do the whole partial fractions bit, but this is where my problem lies.

For example, what I have on paper is that I took the 272 out of the integral, which left u/(u(u+4)) inside the integral.

But then the partial fractions do not come out right for me.
 
There is a common factor of u in both the numerator and denominator of that fraction, cancel it out and then it should be a very simple integral.
 

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