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:

Ethmoidal Sinus

Air-filled spaces located within the ethmoid bone between the nose and eyes, part of the paranasal sinuses.

Maxillary Sinus

The maxillary sinus is one of the four pairs of paranasal sinuses that are located within the bones of the face and cheeks, specifically within the maxilla or upper jaw bone.

Lordosis

A curvature of the spine that results in an exaggerated inward curve of the lower back.

Kyphosis

A spinal disorder where there is an excessive outward curve of the spine, leading to a hunchback appearance.