\(\int \frac{dx}{x(x^2+1)}\) equals ______

• A. \(log|x| – \frac{1}{2} log(x^2+1)\) + C
• B. \(log|x| + \frac{1}{2} log(x^2+1)\) + C
• C. –\(log|x| + \frac{1}{2} log(x^2+1)\) + C
• D. \(\frac{1}{2} log|x| + log(x^2+1)\) + C