Find the Volume of the solid whose cross sections perpendicular to the $x$-axis are squares one side of which stretches from the graph of $y = 2x + 1$ to $y = −x$ for $0 ≤ x ≤ 1$.
2026-03-29 05:34:31.1774762471
Volume of solid
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Hint: The area of a cross section selected perpendicular to the $x$-axis has volume $\approx (2x+1 -(-x))^2 \Delta x = (3x+1)^2 \Delta x$ for $0 \leq x \leq 1$.