Methods2025 NHT Exam 2 Section A · Q8CAS active1 mark

Equal areas above and below the axis for a cubic

The graph of $y = f(x)$ is shown below, where $f: \R \to \R, f(x) = x^3 - x$ .

The area of the region marked $A$ is the same as the area of the region marked $B$ .

Given that $a > 0$ , the value of $a$ is

1 mark

\frac{1}{4}

1

\sqrt{2}

\sqrt{3}

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