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Integrate ∫7x−4(x−1)2(x+2)dx\int \frac{7 x-4}{(x-1)^{2}(x+2)} d x A) −2x−1+ln⁡∣x−1∣−2ln⁡∣x+2∣+C-\frac{2}{x-1}+\ln |x-1|-2 \ln |x+2|+C B) ln⁡(x−1)2+2ln⁡∣x−1∣−2ln⁡∣x+2∣+C\ln (x-1)^{2}+2 \ln |x-1|-2 \ln |x+2|+C

Question 34

Multiple Choice

Integrate ∫7x−4(x−1) 2(x+2) dx\int \frac{7 x-4}{(x-1) ^{2}(x+2) } d x


A) −2x−1+ln⁡∣x−1∣−2ln⁡∣x+2∣+C-\frac{2}{x-1}+\ln |x-1|-2 \ln |x+2|+C
B) ln⁡(x−1) 2+2ln⁡∣x−1∣−2ln⁡∣x+2∣+C\ln (x-1) ^{2}+2 \ln |x-1|-2 \ln |x+2|+C
C) −1x−1+2ln⁡∣x−1∣−2ln⁡∣x+2∣+C-\frac{1}{x-1}+2 \ln |x-1|-2 \ln |x+2|+C
D) 1(x−1) 2+2x−1−2x+2+C\frac{1}{(x-1) ^{2}}+\frac{2}{x-1}-\frac{2}{x+2}+C

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