Use Integration by Parts to Evaluate $\int 3 x ^ { 3 } \ln x d x$

question 9

Multiple Choice

Use integration by parts to evaluate $\int 3 x ^ { 3 } \ln x d x$ .

• A) \(\frac { - 3 x ^ { 4 } ( 4 \ln ( x ) + 1 ) } { 4 } + C\)
• B) \(\frac { 3 x ^ { 3 } ( 3 \ln ( x ) + 1 ) } { 3 } + C\)
• C) \(\frac { 3 x ^ { 4 } ( 4 \ln ( x ) + 1 ) } { 16 } + C\)
• D) \(\frac { 3 x ^ { 3 } ( 3 \ln ( x ) - 1 ) } { 9 } + C\)
• E) \(\frac { 3 x ^ { 4 } ( 4 \ln ( x ) - 1 ) } { 16 } + C\)

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