Use Integration by Parts to Find the Integral Below $\int 5 x ^ { n } \ln a x d x ( a \neq 0 , n \neq - 1 )$

question 3

Multiple Choice

Use integration by parts to find the integral below. $\int 5 x ^ { n } \ln a x d x ( a \neq 0 , n \neq - 1 )$

• A) \(\frac { 5 x ^ { n } } { n } \ln a x - \frac { 5 } { n ^ { 2 } } x ^ { n } + C\)
• B) \(\frac { 6 x ^ { n + 1 } } { n + 1 } \ln a x - \frac { 6 } { ( n + 1 ) ^ { 2 } } x ^ { n + 1 } + C\)
• C) \(\frac { 5 x ^ { n } } { n } - \frac { 5 } { ( n + 1 ) ^ { 2 } } \ln a x + C\)
• D) \(\frac { 5 x ^ { n + 1 } } { n + 1 } \ln a x - \frac { 5 } { ( n + 1 ) ^ { 2 } } x ^ { n + 1 } + C\)
• E) \(\frac { 6 x ^ { n + 1 } } { n + 1 } - \frac { 6 } { n ^ { 2 } } \ln a x + C\)

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