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Find the Integral ∫dxx(x−2)\int \frac{d x}{x(x-2)} A) 2ln⁡∣x2−2x∣+C2 \ln \left|\frac{x^{2}-2}{x}\right|+C B) 2ln⁡∣x−2x∣+C2 \ln \left|\frac{x-2}{x}\right|+C

Question 23

Multiple Choice

Find the integral. ∫dxx(x−2) \int \frac{d x}{x(x-2) }


A) 2ln⁡∣x2−2x∣+C2 \ln \left|\frac{x^{2}-2}{x}\right|+C
B) 2ln⁡∣x−2x∣+C2 \ln \left|\frac{x-2}{x}\right|+C
C) 12ln⁡∣x2−2x∣+C\frac{1}{2} \ln \left|\frac{x^{2}-2}{x}\right|+C
D) 12ln⁡∣x−2x∣+C\frac{1}{2} \ln \left|\frac{x-2}{x}\right|+C

Correct Answer:

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