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Find the Integral ∫3x−5x2−2x−3dx\int \frac { 3 x - 5 } { x ^ { 2 } - 2 x - 3 } d x

Question 41

Multiple Choice

Find the integral.
∫3x−5x2−2x−3dx\int \frac { 3 x - 5 } { x ^ { 2 } - 2 x - 3 } d x


A) ln⁡∣(x+3) (x−1) 2∣+C\ln \left| ( x + 3 ) ( x - 1 ) ^ { 2 } \right| + C
B) ln⁡∣(x−1) (x+3) 2∣+C\ln \left| ( x - 1 ) ( x + 3 ) ^ { 2 } \right| + C
C) ln⁡∣(x−3) (x+1) 2∣+C\ln \left| ( x - 3 ) ( x + 1 ) ^ { 2 } \right| + C
D) ln⁡∣(x+1) (x−3) 2∣+C\ln \left| ( x + 1 ) ( x - 3 ) ^ { 2 } \right| + C

Correct Answer:

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