Define R as the region bounded by the graphs of f(x) = 3√x and g(x) = x^2/4 over the interval [1, 4]. Which of the following represents the volume of the solid of revolution formed by rotating R about the line x = -1?
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Define R as the region bounded by the graphs of f(x) = 3√x and g(x) = x^2/4 over the interval [1, 4]. Which of the following represents the volume of the solid of revolution formed by rotating R about the line x = -1?
![Define R as the region bounded by the graphs of f(x) = 3√x and g(x) = x^2/4 over the interval [1, 4]. Which of the following represents the volume of the solid of revolution formed by rotating R about the line x = -1?](https://www.doubtrix.com/js/ckeditor/filemanager/connectors/php/editor/1701968112-Jzfvgrogmd.png)
![Define R as the region bounded by the graphs of f(x) = 3√x and g(x) = x^2 / 4 over the interval [1, 4]. Which of the following represents the volume of the solid of revolution formed by rotating R about the line x = -1 ∫1 4 2π(x + 1) (3√x – x^2 / 4 ) dx ○ ∫1 4 2π(x - 1) ( x^2 / 4 - 3√x) dx ∫1 4 2π(x - 1) (3√x – x^2 / 4 ) dx ∫1 4 2π(x + 1) ( x^2 / 4 - 3√x) dx ∫4 1 2π(x + 1) (3√x – x^2 / 4 ) dx](https://www.doubtrix.com/uploads/editor/5896888824LCQVfAnVrd.png)
![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)