Mastering Partial Fractions for Integrating (x+2)/(x+4)^2

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Discussion Overview

The discussion revolves around the integration of the function (x+2)/(x+4)^2, specifically focusing on the use of partial fractions and alternative methods for solving the integral. Participants explore different approaches and express varying levels of understanding regarding the integration process.

Discussion Character

  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents a partial fraction decomposition approach, suggesting A/(x^2+4) + B/[(x^2+4)^2) with A=0 and B=1.
  • Another participant proposes using a substitution method, specifically letting u = 2tan, and advises against using partial fractions.
  • A later reply questions the initial understanding of the problem and suggests that the original poster correct their mistake before further assistance is provided.
  • One participant expresses skepticism about the need for external resources, implying that the original poster should be able to find solutions independently.

Areas of Agreement / Disagreement

Participants do not appear to reach consensus on the best method for solving the integral, with multiple competing views on the use of partial fractions versus substitution methods remaining evident throughout the discussion.

Contextual Notes

There are indications of misunderstandings or miscommunications regarding the problem setup and solution methods, but these remain unresolved within the thread.

NINHARDCOREFAN
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The integral of [(x+2/(x+4)]^2

A/(x^2+4) + B/[(x^2+4)^2)

A=0, B=1

so, the integral of 1/(x^2+4)^2

how do you do this?
 
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Let u = 2tan and don't use partial fractions…
 
JonF said:
Let u = 2tan and don't use partial fractions…
I think even when you don't do as what you said in your post, surely you can still find out A LOT OF SOURCES to get this THING solved. Why never look for books around you ? I am sure you should have a lot, because maths computation is what you like, which your presence here already tells me, RIGHT ?

Just a suggestion anyway, since not everyone has an American dream.. For example, me, call me Alexsan, a psychologist-to-be, mainly plays around with alcohols and chemical reactions.
 
NINHARDCOREFAN said:
The integral of [(x+2/(x+4)]^2

A/(x^2+4) + B/[(x^2+4)^2)

A=0, B=1

so, the integral of 1/(x^2+4)^2

how do you do this?
Hehe, Now your turn!

1~ Is it true that you don't understand how to solve the problem or you want to play around with your misinformation?
2~ You first correct your mistake made in your OP, then I will try to help you_UP.

AlexContourPlus
 

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