a) Sketch the curve y = x(x 1) showing clearly where the curve crosses the x-axis.

Question:

a) Sketch the curve y = x(x² − 1) showing clearly where the curve crosses the x-axis.

b) Find the area between the curve and the x-axis.

c) Find the volume obtained when the
area bounded by the curve and the
positive x-axis is rotated 360° about
the x-axis.

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