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The part of the line y = x − 3 between y = 0 and y = 2 is rotated about the y-axis. Find the volume of the solid generated
8π/3
98π/3
4π
Find the volume of the solid of revolution generated when the region R bounded by y=4-x2 and the x-axis is revolved about the x-axis
548π/3
512π/15
Determine the volume of the solid generated by rotating the region bounded by f(x)= x2-4x+5, x=1, x =4 and the x-axis about the x-axis
78π/5
7π/15
Find the volume of the solid of revolution generated when the region R bounded by y=x\sqrt{x}x and the y=x4 is revolved about the y-axis
108π/5
Determine the volume of the solid obtained by rotating the region bounded by y=x2-2x , and y=x about the line y=4
153π/5
What is the formula for the volume of the solid generated by a region under f(x) bounded by the x-axis and vertical lines x=a and x=b, which is revolved about the x-axis
π∫ab[f(x)]2dx\int_a^b\left[f\left(x\right)^{ }\right]^2dx∫ab[f(x)]2dx
π∫abf(x)dx\int_a^bf\left(x\right)^{ }dx∫abf(x)dx
∫ab[f(x)]2dx\int_a^b\left[f\left(x\right)^{ }\right]^2dx∫ab[f(x)]2dx
Find the volume of the solid of revolution generated when the region R bounded by y=x2 and the y=x is revolved about line y=-1
Calculate the volume of the solid generated by a region under f(x)=1 bounded by the x-axis and vertical lines x=1 and x=3, which is revolved about the x-axis
π
2π
π/2
Determine the volume of the solid generated by rotating the region bounded by y=x1/3 , and 4y=x/4 that lies in the first quadrant about the y-axis
512π/21
What is the formula for the volume of the solid generated by a region under f(x) bounded by the x-axis and vertical lines x=1 and x=3, which is revolved about the x-axis
π∫13[f(x)]2dx\int_1^3\left[f\left(x\right)\right]^2dx∫13[f(x)]2dx
π∫13f(x)dx\int_1^3f\left(x\right)dx∫13f(x)dx
∫13[f(x)]2dx\int_1^3\left[f\left(x\right)\right]^2dx∫13[f(x)]2dx
It is done.