Mathematics

Mathematics

Problem

Determine ∫7(x−1)(x+2) dx\displaystyle \int \frac{7}{(x-1)(x+2)}\,dx. a) 7(ln⁡∣x−1∣−ln⁡∣x+2∣)+C7\bigl(\ln|x-1|-\ln|x+2|\bigr)+C b) 73(ln⁡∣x+2∣−ln⁡∣x−1∣)+C\dfrac{7}{3}\bigl(\ln|x+2|-\ln|x-1|\bigr)+C c) 73(ln⁡∣x−1∣−ln⁡∣x+2∣)+C\dfrac{7}{3}\bigl(\ln|x-1|-\ln|x+2|\bigr)+C d) 73(ln⁡∣x−1∣+ln⁡∣x+2∣)+C\dfrac{7}{3}\bigl(\ln|x-1|+\ln|x+2|\bigr)+C

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