Use a CAS to Perform the Integration $$\int x ^ { 6 } \ln x d x$$

question 178

Multiple Choice

Use a CAS to perform the integration.
- $$\int x ^ { 6 } \ln x d x$$

• A) \(\frac { x ^ { 7 } } { 7 } \ln x + \frac { x ^ { 7 } } { 49 } + C\)
• B) \(\frac { x ^ { 7 } } { 7 } \ln x - \frac { x ^ { 8 } } { 56 } + C\)
• C) \(\frac { x ^ { 7 } } { 7 } \ln x - \frac { x ^ { 7 } } { 7 } + C\)
• D) \(\frac { x ^ { 7 } } { 7 } \ln x - \frac { x ^ { 7 } } { 49 } + C\)

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Definitions:

Bimetallic Strip

A strip made of two dissimilar metals bonded together that bends at different temperatures, used in temperature sensing or control devices.

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The increase in volume of a substance due to a rise in temperature.

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A protective device that monitors the current to motors and disconnects power in case of overload, preventing damage.

Overload Unit Contacts

Components within an overload relay that open or close electrical circuits to provide motor protection against excessive current.