Find the area between y = x and y = x² on [0, 1]. Set the slider to your answer.

Practice question · Estimate

Find the area between $y = x$ and $y = x^{2}$ on [0, 1]. Set the slider to your answer.

Estimate on a scale from 0 to 0.5.

Hints

Show the answer

0.1667 (answers within ±0.005 count)

Why

$\int_{0}^{1} (x - x^{2}) dx$ = [ $x^{2}/2$ − $x^{3}/3$ ]₀¹ = 1/2 − 1/3 = 1/6 $\approx 0.1667$ .

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