please help. Need some explanation here! will love to rate on work! (1 pt) As a

Question

please help. Need some explanation here! will love to rate on work!

(1 pt) As a hardworking student, plagued by too much homework, you spend all night doing math homework. By 6am, you imagine yourself to be a region bounded by
y=6x2
x=0
x=1
y=0
As you grow more and more tired, the world begins to spin around you. However, according to Newton, there is no difference between the world spinning around you, and you spinning around the world. Unfortunately, you are so tired that you think the world is the x-axis. What is the volume of the solid you (the region) create by spinning about the x-axis?

Explanation / Answer

Take a perpendicular cross section of infinitesimal thickness. dV = A(x) dx where A(x) is the cross section area. For a volume of revolution, A(x) = ? f(x)

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