Find the Area of the Surface Generated by Revolving the Curve

question 120

Multiple Choice

Find the area of the surface generated by revolving the curve about the indicated axis.
- $$y = \frac { e ^ { x } + e ^ { - x } } { 2 } , 0 \leq x \leq \ln 4 ; x - a x i s$$

• A) \(\frac { 15 } { 8 } \pi\)
• B) \(\pi \ln 4\)
• C) \(\pi \left( \frac { 255 } { 64 } + \ln 4 \right)\)
• D) \(\pi \left( \frac { 289 } { 32 } + \ln 4 \right)\)

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