Find the Integral $\int \frac{d x}{x(x-2)}$ A) $2 \ln \left|\frac{x^{2}-2}{x}\right|+C$ B) $2 \ln \left|\frac{x-2}{x}\right|+C$

question 23

Multiple Choice

Find the integral. $\int \frac{d x}{x(x-2) }$

• A) \(2 \ln \left|\frac{x^{2}-2}{x}\right|+C\)
• B) \(2 \ln \left|\frac{x-2}{x}\right|+C\)
• C) \(\frac{1}{2} \ln \left|\frac{x^{2}-2}{x}\right|+C\)
• D) \(\frac{1}{2} \ln \left|\frac{x-2}{x}\right|+C\)

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