Finding Volume of Solid Rotated X-Axis

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To find the volume of the solid formed by rotating the line f(x) = 2x - 1 around the x-axis, the correct setup involves using the disk method for integration. The limits of integration are from x = 0 to x = 3, and the volume can be calculated using the integral V = π ∫[0 to 3] (f(x))^2 dx. The user has been struggling with the calculations and consistently arrives at an incorrect answer of 46.0766. Assistance is requested to clarify the integral setup and ensure accurate computation. Properly setting up the integral is crucial for determining the correct volume.
Cheapo2004
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Ok, I'm supposed to found the volume of the solid that is created after rotating the line f(x) = 2x-1 around the x axis. The limits are y=0 x=3 and x=0. I've been trying for about and hour, and keep getting the answer: 46.0766. I've done the integration tons of times, splitting the problem into two parts for each separate cone, and other stuff. I just can't seem to get the right answer, please help.
 
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