Does This Integral $\int x \ln x d x$ = $\frac { x ^ { 2 } } { 2 }$

question 56

True/False

Does this integral $\int x \ln x d x$ = $\frac { x ^ { 2 } } { 2 }$ ln x - $\frac { x ^ { 2 } } { 4 }$ + C?

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Definitions:

Neurosecretory Cells

Specialized neurons that produce and release hormones directly into the blood, bridging the nervous and endocrine systems.

Antidiuretic Hormone

A hormone released by the pituitary gland that regulates the body's retention of water by increasing the absorption of water in the kidneys.

Hypothalamus

A region of the brain responsible for the regulation of various bodily functions, including temperature, hunger, and the release of hormones.

Nervous System Connection

The complex network of neurons and synapses that facilitate communication between different parts of the body and the brain, enabling sensation, movement, and thought.