Find the Indefinite Integral $\int t ^ { 3 } \left( 5 + t ^ { 4 } \right) ^ { 5 } d t$

question 92

Multiple Choice

Find the indefinite integral $\int t ^ { 3 } \left( 5 + t ^ { 4 } \right) ^ { 5 } d t$

• A) \(\frac { \left( 5 + t ^ { 3 } \right) ^ { 6 } } { 24 } + C\)
• B) \(\frac { \left( 5 + t ^ { 4 } \right) ^ { 6 } } { 24 } + C\)
• C) \(\frac { \left( 5 + t ^ { 4 } \right) ^ { 6 } } { 6 } + C\)
• D) \(24 \left( 5 + t ^ { 4 } \right) ^ { 6 } + C\)
• E) \(\frac { \left( 5 + t ^ { 4 } \right) ^ { 6 } } { 16 } + C\)

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Definitions:

Zygmunt Bauman

A Polish sociologist known for his analysis of the links between modernity, globalization, and consumerism, and for coining the term "liquid modernity."

Elites

Refers to a small group of people with a disproportionate amount of wealth, privilege, political power, or skill in a society.

Late Modernity

A period characterized by rapid societal changes brought about by technological advancements, globalization, and changing social norms, often seen as an extension of modernity.

Zygmunt Bauman

A Polish-born sociologist known for his analyses of the links between modernity, globalization, and new forms of social life.