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Write an Integral Giving the Area of the Surface Obtained xx

Question 58

Multiple Choice

Write an integral giving the area of the surface obtained by revolving the curve about the xx -axis. (Do not evaluate the integral.)
y=2x on [4,5]y = \frac { 2 } { x } \text { on } [ 4,5 ]


A) 2π452x(1+(2x2) 2) dx2 \pi \int _ { 4 } ^ { 5 } \frac { 2 } { x } \left( 1 + \left( - \frac { 2 } { x ^ { 2 } } \right) ^ { 2 } \right) d x
B) 2π45x44x3dx2 \pi \int _ { 4 } ^ { 5 } \frac { \sqrt { x ^ { 4 } - 4 } } { x ^ { 3 } } d x
C) 4π45x3x4+4dx4 \pi \int _ { 4 } ^ { 5 } x ^ { 3 } \sqrt { x ^ { 4 } + 4 } d x
D)
4π45x4+4x3dx4 \pi \int _ { 4 } ^ { 5 } \frac { \sqrt { x ^ { 4 } + 4 } } { x ^ { 3 } } d x

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