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Q.∫x+1(x−1)2(x+2) dx\int \dfrac{x + 1}{(x-1)^2(x+2)} \, dx equals

a
13log⁡∣(x−1)2x+2∣+C\dfrac{1}{3} \log \left| \dfrac{(x-1)^2}{x+2} \right| + C
b
log⁡∣x−1∣−12log⁡∣x+2∣+C\log |x-1| - \dfrac{1}{2} \log |x+2| + C
c
log⁡∣x−1∣+12log⁡∣x+2∣+C\log |x-1| + \dfrac{1}{2} \log |x+2| + C
d
13log⁡∣x−1∣−log⁡∣x+2∣+C\dfrac{1}{3} \log |x-1| - \log |x+2| + C

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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