Use Integration by Parts to Establish a Reduction Formula for the Integral

question 19

Multiple Choice

Use integration by parts to establish a reduction formula for the integral.
- $\int ( \ln a x ) ^ { n } d x$

• A) \(\int ( \ln a x ) ^ { n } d x = \frac { x ( \ln a x ) ^ { n } } { n } + \frac { n } { a } \int ( \ln a x ) ^ { n - 1 } d x\)
• B) \(\int ( \ln a x ) ^ { n } d x = a x ( \ln a x ) ^ { n } - a n \int ( \ln a x ) ^ { n - 1 } d x\)
• C) \(\int ( \ln a x ) ^ { n } d x = x ( \ln a x ) ^ { n } - n \int ( \ln a x ) ^ { n - 1 } d x\)
• D) \(\int ( \ln a x ) ^ { n } d x = \frac { x ( \ln a x ) ^ { n } } { n } - \frac { n } { a } \int ( \ln a x ) ^ { n - 2 } d x\)

Understand what productivity means and how it is measured.

Recognize the importance of both efficiency and attractiveness in operations management within theme restaurants.

Identify the universal presence of a production function across various types of organizations.

Acknowledge the diverse educational backgrounds that can contribute to a career in operations management.

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