How to Solve the Integral ∫√(1+x)/(1-x)

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Homework Help Overview

The discussion revolves around the integral ∫√(1+x)/(1-x), with participants exploring methods to approach the problem without providing complete solutions.

Discussion Character

  • Exploratory, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants discuss the possibility of expressing the integral in terms of elementary functions and suggest various substitutions and manipulations, including a specific substitution and a multiplication technique.

Discussion Status

There is active engagement with hints being shared, although some participants express concern about adhering to forum rules regarding the sharing of complete solutions. The discussion reflects a mix of interpretations and approaches without reaching a consensus.

Contextual Notes

Participants are reminded of forum rules that discourage providing full workings, which influences the nature of the hints and suggestions offered.

blu3jam
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[tex]\int\sqrt{}\frac{1+x}{1-x}[/tex]

I am stuck on this problem. I have no idea about what to do , If you have any idea please share with me ... thanks in advance
 
Last edited:
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Do you mean

[tex]\int\sqrt{\frac{1+x}{1-x}}[/tex] ?

I don't think there is any way to express that in terms of elementary functions.
 
Feldoh said:
Do you mean

[tex]\int\sqrt{\frac{1+x}{1-x}}[/tex] ?

I don't think there is any way to express that in terms of elementary functions.

I think there actually is. Do the substitution u^2=(1+x)/(1-x). It just takes some patience.
 
Your hint is excellent. Working the problem in full is strictly against the rules. I'm going to report this and see if it can be removed. READ THE FORUM RULES.
 
janhaa, you can repost your hint. It's very good. Just leave out the full workings, ok?
 
Hi blu3jam! :smile:

Alternative hint: multiply top and bottom by √(1 - x). :smile:
 
Your hints works. Thanks for your help !
 

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