$\text { Use integration tables to find the integral } \int \sqrt [ 4 ] { x } \arctan x ^ { 5 / 4 } d x \text {. }$

question 50

Multiple Choice

$\text { Use integration tables to find the integral } \int \sqrt [ 4 ] { x } \arctan x ^ { 5 / 4 } d x \text {. }$

• A) \(x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) + \ln \sqrt { 1 + x ^ { 5 / 2 } } + C\)
• B) \(\frac { 5 } { 4 } \left[ x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) + \ln \sqrt { 1 + x ^ { 5 / 2 } } \right] + C\)
• C) \(\frac { 1 } { 9 } \left( x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) - \ln \sqrt { 1 + x ^ { 5 / 4 } } \right) + C\)
• D) \(\frac { 4 } { 5 } \left( x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) - \ln \sqrt { 1 + x ^ { 5 / 2 } } \right) + C\)
• E) \(x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) - \ln \sqrt { 1 + x ^ { 5 / 4 } } + C\)

Grasp the notion of land ownership and use among Native American societies versus European settlers.

Learn about the religious beliefs and practices across Native American cultures and their contrast with European views.

Familiarize with the European motivations for exploration and the technologies that facilitated long-distance navigation.

Identify the differences in gender roles and rights in pre-colonial, colonial societies, and under specific legal frameworks like "coverture."

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Definitions:

Typologies

The systematic classification of types that have common characteristics.

Utilitarian

A philosophical approach that emphasizes the outcome or consequences of actions in terms of their benefits or utility, often summarized as the greatest good for the greatest number.

Passive-Congenial

A term possibly related to passive behaviors or traits within congenial (friendly and pleasant) settings or relationships, though not a widely recognized key term.

Convenience

The quality or condition of being easy to do, use, or access, often improving efficiency or comfort.