Verify the Integration Formula

question 147

True/False

Verify the integration formula.
- $$\int 2 x ^ { 3 } \operatorname { sech } ^ { - 1 } x ^ { 2 } d x = \frac { x ^ { 4 } } { 2 } \operatorname { sech } ^ { - 1 } x + \frac { 1 } { 2 } \sqrt { 1 - x ^ { 4 } } + C$$

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Definitions:

Secondary Sex Characteristic

Physical features that emerge during puberty and distinguish the two sexes but are not directly involved in reproduction, such as facial hair in males and breast development in females.

Primary Sex Characteristics

The biological and physiological features, such as the reproductive organs, that distinguish males and females.

Masculinity

A set of attributes, behaviors, and roles associated with boys and men as socialized in a given society.

Femininity

represents a set of attributes, behaviors, and roles traditionally associated with girls and women or considered typical of the female gender.