Solving an Integral: Step-by-Step Guide

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Homework Help Overview

The discussion revolves around solving integrals, specifically focusing on the integral involving the expression xln(x+(1+(1+x^2)^(1/2))/(1-x^2)^2. Participants are seeking guidance on how to approach this integral step-by-step.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express a desire for step-by-step guidance on solving the integral, with one participant noting their struggle over several days. Another participant suggests using LaTeX for clarity in presenting the integral. There is also a mention of a different integral involving sec[x]/(1-tan[x]^2).

Discussion Status

The discussion is ongoing, with participants sharing their attempts and clarifying the integral expressions. Some guidance has been offered regarding the format of the integral, but there is no consensus on a specific method or solution yet.

Contextual Notes

One participant notes their background as a high school student tackling a college-level problem, indicating a potential gap in foundational knowledge or experience with such integrals.

needhelp17
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Someone pliz can you solve this integral with the steps..

xln(x+(1+(1+x^2)^1/2)/(1-x^2)^2

the answer is... ln(x+(1+x^2)^1/2)/2(1-x^2) + 1/4(2)^1/2ln(((1+x^2)-x(2)^1/2)/ ((1+x^2)^1/2+x(2)^1/2))

but how do i get this answer?
please a ineed the steps
 
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How do I solve this?

sec[x]/(1-tan[x]^2)
 
I have tried the problem 3 days ...I don't know what to do..this is like a college problem.. and I am still in high school
 
Which integral are you solving now? For the former, it'll help a lot if you typed it out in Latex. Is it supposed to be like this:
[tex]\int x ln \left| x + \frac{1+\sqrt{1+x^2}}{(1-x^2)^2} \right | dx[/tex]
 
I got to this point


1/(Sqrt[1+x^2](1-x^2))

http://https://www.physicsforums.com/attachment.php?attachmentid=15381&stc=1&d=1221187139
 

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the problem is in the image
 

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