Find the Volume of the Solid Obtained When the Region $y = x - x ^ { 3 }$

question 27

Multiple Choice

Find the volume of the solid obtained when the region above the x-axis, bounded by the x-axis and the curve $y = x - x ^ { 3 }$ , is rotated about the y-axis.

• A) \(\frac { 2 } { 7 } \pi\)
• B) \(\frac { 8 } { 35 } \pi\)
• C) \(\frac { 4 } { 15 } \pi\)
• D) \(\frac { 8 } { 15 } \pi\)
• E) \(\frac { 4 } { 35 } \pi\)
• F) \(\frac { 2 } { 5 } \pi\)
• G) \(\frac { 4 } { 5 } \pi\)
• H) \(\frac { 4 } { 7 } \pi\)

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Definitions:

New Religious Movements

A term used to describe religious, spiritual, or ethical communities or groups that have emerged relatively recently and differ from established religious traditions.

Tylor

Refers to Edward Burnett Tylor, a 19th-century anthropologist known for his pioneering work in cultural anthropology and the concept of animism.

Evolutionistic Theoretical Approach

An approach in various disciplines that uses concepts of evolution to explain changes and developments, suggesting that entities progress through a series of gradual changes.

Religious Beliefs

Systems of faith and worship; the conviction in the existence of a higher power or powers.