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Integration — Question 57

Original QCE Vault practice · 1 mark

Q57 · Practice questionSimple familiar1 mark

QUESTION 57

An antiderivative of 5x+1(x−1)(x+2)\dfrac{5x+1}{(x-1)(x+2)} is
(A)
2ln⁡∣x−1∣+3ln⁡∣x+2∣+c2\ln|x-1|+3\ln|x+2|+c
(B)
3ln⁡∣x−1∣+2ln⁡∣x+2∣+c3\ln|x-1|+2\ln|x+2|+c
(C)
5ln⁡∣(x−1)(x+2)∣+c5\ln|(x-1)(x+2)|+c
(D)
2ln⁡∣x+1∣+3ln⁡∣x+2∣+c2\ln|x+1|+3\ln|x+2|+c
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