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Evaluate the Integral ∫x(x−3)2 dx\int \frac { x } { ( x - 3 ) ^ { 2 } } \mathrm {~d} x

Question 34

Multiple Choice

Evaluate the integral. ∫x(x−3) 2 dx\int \frac { x } { ( x - 3 ) ^ { 2 } } \mathrm {~d} x


A) −xln⁡∣x−3∣x−3+C- \frac { x \ln | x - 3 | } { x - 3 } + C
B) xx−3−ln⁡∣x−3∣+C\frac { x } { x - 3 } - \ln | x - 3 | + C
C) −xx−3+ln⁡∣x−3∣+C- \frac { x } { x - 3 } + \ln | x - 3 | + C
D) −x+ln⁡∣x−3∣x−3+C- \frac { x + \ln | x - 3 | } { x - 3 } + C
E) −xx−3+ln⁡∣x∣+C- \frac { x } { x - 3 } + \ln | x | + C

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