Find the Area of the Surface Obtained by Revolving the Given

question 125

Multiple Choice

Find the area of the surface obtained by revolving the given curve about the $x$ -axis.
$y = \frac { e ^ { x } + e ^ { - x } } { 2 }$ on $[ 0 , \ln 3 ]$

• A) \(\pi \ln 3\)
• B) \(\pi \left( \frac { 20 } { 9 } + \ln 3 \right)\)
• C) \(\frac { 20 } { 9 } \pi\)
• D) \(\frac { \pi } { 3 } \left( \frac { 20 } { 9 } + \ln 3 \right)\)

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Definitions:

Manet

Édouard Manet, a 19th-century French painter, one of the first artists to approach modern-life subjects, bridging the gap between realism and impressionism.

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A cultural movement that began in Italy in the 14th century and spread throughout Europe, characterized by a revival of interest in the classical arts, literature, and learning.

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A painting by Eugène Delacroix depicting a scene in the harem life of Algiers, reflecting Orientalism in 19th-century European art.