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Evaluate ∫(x−3)ln⁡(2x)dx\int ( x - 3 ) \ln ( 2 x ) d x

Question 14

Multiple Choice

Evaluate ∫(x−3) ln⁡(2x) dx\int ( x - 3 ) \ln ( 2 x ) d x .


A) 6x−x22+x(x−6) ln⁡(2x) 6 x - \frac { x ^ { 2 } } { 2 } + x ( x - 6 ) \ln ( 2 x ) + C
B) (x−3) 22ln⁡(2x) \frac { ( x - 3 ) ^ { 2 } } { 2 } \ln ( 2 x ) + C
C) x22+x(x−6) ln⁡(2x) \frac { x ^ { 2 } } { 2 } + x ( x - 6 ) \ln ( 2 x ) + C
D) 3x−x24+x(x−6) ln⁡(2x) 23 x - \frac { x ^ { 2 } } { 4 } + \frac { x ( x - 6 ) \ln ( 2 x ) } { 2 } + C

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