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

[blu3jam]

\int\sqrt{}\frac{1+x}{1-x}

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

 

[Feldoh]

Do you mean

\int\sqrt{\frac{1+x}{1-x}} ?

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

 

[Dick]

Do you mean

\int\sqrt{\frac{1+x}{1-x}} ?

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.

 

[Dick]

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.

 

[Dick]

janhaa, you can repost your hint. It's very good. Just leave out the full workings, ok?

 

[tiny-tim]

Hi blu3jam!

Alternative hint: multiply top and bottom by √(1 - x).

 

[blu3jam]

Your hints works. Thanks for your help !