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Find the Area of the Surface Obtained by Rotating the Curve

Question 58

Multiple Choice

Find the area of the surface obtained by rotating the curve about the y-axis. y=14x212lnx,1x8y=\frac{1}{4} x^{2}-\frac{1}{2} \ln x, 1 \leq x \leq 8


A) 3π2\frac{3 \pi}{2}
B) 103\frac{10}{3}
C) 8π3\frac{8 \pi}{3}
D) 11π2\frac{11 \pi}{2}
E) None of these

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