Find the Volume of the Solid Generated by Revolving the Region

question 32

Short Answer

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated axis.
$y = \frac { e ^ { x / 2 } } { \left( 1 + e ^ { x } \right) ^ { 5 / 2 } } , \quad y = 0 , \quad x = 0 , \quad x = 4 ;$ the $x$ -axis

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Definitions:

Big Data

Any set of data that is too large or too complex to be handled by standard data-processing techniques and typical desktop software.

Variety

The diversity in types and structures of the data generated.

Nonsampling Error

Errors in data collection or analysis that are not related to the process of selecting a sample from the population.

Coverage Error

The error that occurs when the sample does not adequately represent the population being studied, often due to undercoverage or overcoverage.