Question: Find the volume of the solid with the given base and cross sections. The base is a square, one of whose sides is the interval

Find the volume of the solid with the given base and cross sections.

The base is a square, one of whose sides is the interval [0, ℓ] along the x-axis. The cross sections perpendicular to the x-axis are rectangles of height ƒ(x) = x2.

[" (ex) dx = ( 1 x ) (6 = 1 1 0

(0x) dx = ( 1 (x ) (6 = 1 1 0

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