Question

Solve $\int \frac{dx}{(1+x)(1-x)}$

Answer 1

Consider the given integral.

$I=\int \frac{dx}{(1+x)(1-x)}$

$I=\int \frac{dx}{(1-x^2)}$

$I=\frac{1}{2}\log \left(\frac{1+x}{1-x}\right)+C$

Hence, this is the answer.