Find the Area of the Surface Obtained by Rotating the Curve

question 132

Multiple Choice

Find the area of the surface obtained by rotating the curve about the $y$ -axis. Select the correct answer.
$$y = \frac { 1 } { 4 } x ^ { 2 } - \frac { 1 } { 2 } \ln x , 1 \leq x \leq 4$$

• A) \(\frac { 3 \pi } { 2 }\)
• B) \(\frac { 8 \pi } { 3 }\)
• C) \(\frac { 10 } { 3 }\)
• D) \(\frac { 11 \pi } { 2 }\)
• E) None of these

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