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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The Answer of 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

Find the Area of the Surface Obtained by Rotating the Curve