Find the volume of the solid generated by revolving the region bounded by the x-axis, the curve y = 3x^4 , and the lines x = 1 and x = -1 about the x-axis.

Let's define A as the area given by the integral:

Which is the area between the curve y = 3*x^4 and the x-axis between x = -1 and x = 1

To find the volume of a revolution around the x-axis, we need to multiply the area by 2*pi (a complete revolution)

where pi = 3.14

First, let's solve the integral:

Then the volume of the solid is just:

V = (6/5)*2*3.14 = 7.536

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step-by-step explanation:

answer: $1794

step-by-step explanation: