Trouble Solving an Integral: 2tan(u) Substitution

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Homework Help Overview

The discussion revolves around solving an integral involving the expression 1/((x^2+4)^2). The original poster is attempting to use a trigonometric substitution, specifically x=2tan(u), but is finding the process increasingly complex.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of trigonometric substitution and the challenges it presents. There is a suggestion to consider partial fractions, but the original poster notes that the denominator cannot be factored, leading to questions about the appropriateness of the chosen substitution.

Discussion Status

The discussion is ongoing, with participants exploring different methods for approaching the integral. Some guidance has been offered regarding partial fractions, but the original poster's concerns about the substitution method remain unresolved.

Contextual Notes

There is mention of constraints related to the inability to factor the denominator, which influences the choice of methods being considered.

badtwistoffate
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calc/integral question

having trouble with this question
int[1/((x^2+4)^2)
and i make a trig substitution x=2tan(u)
and it seems to get harder with that but its suppose to be it..
 
Last edited:
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Have you tried partial fractions?
 
i got this from a partital fraction... and the denominator can't be factored so i can't do that again. so a trig substitituition would be best?especially x=2tan (u)
 
help anyone?
 

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