`int (x^2+1)/(x^4+1) dx`

1.	`int (x^2+1)/(x^4+1) dx`
Answer» Correct Answer - `(1)/(sqrt(2))tan^(-1){(1)/(sqrt(2))(x-(1)/(x))}+C` Divide num. and denom. By `x^(2).Put(x-(1)/(x))=t`. `:.I=int(dt)/({t^(2)+(sqrt(2))^(2)})`.

Discussion