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:

IPO

IPO stands for Initial Public Offering, which is the process through which a private company goes public by selling its shares to the general public for the first time.

Green Shoe Option

A clause in an IPO that allows underwriters to buy and sell additional shares than originally planned, stabilizing the stock price.

Underpricing Effect

The phenomenon where new stock offerings are priced below their market value, often leading to an immediate increase in their price upon trading.

Market Price

The prevailing transaction price for an asset or service.