Find the Integral $\int \frac { d x } { x ( x - 3 ) }$

question 61

Multiple Choice

Find the integral.
$\int \frac { d x } { x ( x - 3 ) }$

• A) \(\frac { 1 } { 3 } \ln \left| \frac { x - 3 } { x } \right| + C\)
• B) \(\frac { 1 } { 3 } \ln \left| \frac { x ^ { 2 } - 3 } { x } \right| + C\)
• C) \(3 \ln \left| \frac { x ^ { 2 } - 3 } { x } \right| + C\)
• D) \(3 \ln \left| \frac { x - 3 } { x } \right| + C\)

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Definitions:

Sternocleidomastoid

A muscle located in the neck that is responsible for turning the head side to side and nodding.

Sternal Manubrium

The triangular upper portion of the sternum that articulates with the clavicles and the first two pairs of ribs.

Mastoid Process

A protruding bony area located behind the ear on the skull that contains air cells and serves as an attachment site for neck muscles.

Superior Nuchal Line

A ridge on the external surface of the occipital bone of the skull, running horizontally from the external occipital protuberance to the mastoid part of the temporal bone.