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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