# Integrating is Integral

Calculus Level 5

Let $$R$$ be the region bounded by the graphs of $$y=\sin{(\pi x)}$$ and $$y=x^3 -4x$$. The region $$R$$ is the base of a solid. For this solid, each cross section perpendicular to the $$x$$-axis is a square. Find the volume of this solid to the nearest integer.

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