The area bounded by the curve $y = x^3 - x$ and the $x$-axis is:
Step-by-Step Solution
Key Concept: Identify the sign of $x^3 - x$ on $(-1, 0)$ and on $(0, 1)$ separately, and integrate $|x^3 - x|$ as two pieces with opposite signs of the integrand, then add the two areas.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)