Evaluate integral ( (1+sqrt[x]) (1-sqrt[x]) ) / (1-x^2)

[kimmy_koo51]

Evaluate the following indefinate integral

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

 

[skeeter]

Re: Evaluate the following integral

Evaluate the following indefinate integral
( (1+sqrt[x]) (1-sqrt[x]) ) / (1-x^2)

a little algebra goes a long way ...

\(\displaystyle \frac{(1+\sqrt{x})(1-\sqrt{x})}{1-x^2} = \frac{1-x}{1-x^2} = \frac{1}{1+x}\)

easy to integrate now?