Evaluate the Integral by Making the Given Substitution $$\int x ^ { 2 } \sqrt { x ^ { 3 } + 2 } d x , \quad u = x ^ { 3 } + 2$$

question 87

Short Answer

Evaluate the integral by making the given substitution.
$$\int x ^ { 2 } \sqrt { x ^ { 3 } + 2 } d x , \quad u = x ^ { 3 } + 2$$

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Definitions:

High Individualism

A cultural pattern that emphasizes personal goals, autonomy, and self-reliance over collective goals, community, and interdependence.

Personal Uniqueness

The distinct characteristics and experiences that define an individual's identity and differentiate them from others.

High Collectivism

A social pattern in which individuals prioritize the goals and well-being of the group over personal goals or desires.

Power Distance

A cultural dimension that reflects the degree to which less powerful members of organizations and institutions accept and expect that power is distributed unequally.