 # The integral represents the volume of a solid. Describe the solid. \pi\int_{0}^{1}(y^{4}-y^{8})dy a) The integral describes the volume of the solid ob e1s2kat26 2021-05-17 Answered
The integral represents the volume of a solid. Describe the solid.
$\pi {\int }_{0}^{1}\left({y}^{4}-{y}^{8}\right)dy$
a) The integral describes the volume of the solid obtained by rotating the region of the xy-plane about the x-axis.
b) The integral describes the volume of the solid obtained by rotating the region of the xy-plane about the x-axis.
c) The integral describes the volume of the solid obtained by rotating the region of the xy-plane about the y-axis.
d) The integral describes the volume of the solid obtained by rotating the region of the xy-plane about the y-axis.
e) The integral describes the volume of the solid obtained by rotating the region of the xy-plane about the y-axis.
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Step 1

Axis of solution $=y-axis$
upper boundary $x={y}^{2}$
lower boundary $x={y}^{4}$
region in x-y plane
${y}^{4}
$0\le y\le 1$