Verify the Integration Formula $$\int \frac { \tanh ^ { - 1 } ( \ln x ) } { x } d x = \ln x \tanh ^ { - 1 } ( \ln x ) + \frac { 1 } { 2 } \ln \left( 1 - ( \ln x ) ^ { 2 } \right) + C$$

question 41

True/False

Verify the integration formula.
- $$\int \frac { \tanh ^ { - 1 } ( \ln x ) } { x } d x = \ln x \tanh ^ { - 1 } ( \ln x ) + \frac { 1 } { 2 } \ln \left( 1 - ( \ln x ) ^ { 2 } \right) + C$$

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Definitions:

Parietal Lobe

The region of the cerebral cortex that plays a key role in processing sensory information from various parts of the body, understanding spatial orientation, and language and mathematical reasoning.

Sense of Touch

The sensory system associated with the skin and its ability to perceive pressure, temperature, and pain, allowing humans to interact with the environment.

Balance

Refers to the physical or psychological state of equilibrium or the ability to maintain stability.

Cerebral Cortex

The outer layer of the brain's cerebrum that plays a key role in memory, attention, perception, awareness, thought, language, and consciousness.