Evaluate the Integral $\int _ { 1 } ^ { 2 } x \ln ( 5 x ) \mathrm { d } x$

question 22

Multiple Choice

Evaluate the integral. $\int _ { 1 } ^ { 2 } x \ln ( 5 x ) \mathrm { d } x$

• A) \(\frac { 3 \ln 5 } { 2 } - \frac { 3 } { 4 }\)
• B) \(2 \ln 10 - \frac { \ln 5 } { 2 } - \frac { 3 } { 4 }\)
• C) \(2 \ln 10 - \frac { 3 \ln 5 } { 2 } - \frac { 15 } { 4 }\)
• D) \(- \ln 100 + \frac { \ln 5 - 1 } { 2 }\)
• E) \(\ln 100 + \frac { \ln 5 + 1 } { 2 }\)

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