Mathematics

Mathematics

Problem

Choose the correct answer in each of the Exercises 22 and 23. 22. ∫xdx(x−1)(x−2)\int \frac{x d x}{(x-1)(x-2)} equals (A) log⁡∣(x−1)2x−2∣+C\log \left|\frac{(x-1)^{2}}{x-2}\right|+\mathrm{C} (B) log⁡∣(x−2)2x−1∣+C\quad \log \left|\frac{(x-2)^{2}}{x-1}\right|+C (C) log⁡∣(x−1x−2)2∣+C\quad \log \left|\left(\frac{x-1}{x-2}\right)^{2}\right|+C (D) log⁡∣(x−1)(x−2)∣+C\log |(x-1)(x-2)|+C (A) log⁡∣(x−1)2x−2∣+C\log \left|\frac{(x-1)^{2}}{x-2}\right|+\mathrm{C} (B) log⁡∣(x−2)2x−1∣+C\quad \log \left|\frac{(x-2)^{2}}{x-1}\right|+C (C) log⁡∣(x−1x−2)2∣+C\quad \log \left|\left(\frac{x-1}{x-2}\right)^{2}\right|+C (D) log⁡∣(x−1)(x−2)∣+C\log |(x-1)(x-2)|+C

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