Define R as the region bounded by the graphs of the function f(x) = x^3/6 , the x-axis, x = 0, and x = 2. Write the definite integral that describes the volume of the solid created by rotating R around the x-axis. You may submit your answer in unsimplified form.
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Define R as the region bounded by the graphs of the function f(x) = x^3/6 , the x-axis, x = 0, and x = 2. Write the definite integral that describes the volume of the solid created by rotating R around the x-axis. You may submit your answer in unsimplified form.
![Define R as the region bounded by the functions f(x) = √x and g(x) = 1 x between x = 1 and x = 3. Choose the integral below that describes the volume of the solid created by rotating R around the x-axis. ∫1 3 [√x – 1/x ] 2 dx ∫1 3 π [(√x)^2 - ( 1/x )^2 ] dx ∫3 1 π [(√x)^2 - ( 1/x )^2 ] dx ∫1 3 π [( 1/x )^2 - (√x)^2 ] dx ∫1 3 [ 1/x - √x]^2 dx](https://www.doubtrix.com/uploads/editor/7551775336TAwNlPViaM.png)
