Area common to the curves y = x3, then y=x is ___ sq.units

R⋅A=∫01 x−x3dx=23x32−x4401=23-14=512

Area common to the curves y = x3, then y=x is ___ sq.units

R⋅A=∫01 x−x3dx=23x32−x4401=23-14=512

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Area common to the curves y = x³, then $y = \sqrt{x}$ is ___ sq.units

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$R \cdot A = \int_{0}^{1} (\sqrt{x} - x^{3}) dx = {(\frac{2}{3} x^{\frac{3}{2}} - \frac{x^{4}}{4})}_{0}^{1} = \frac{2}{3} - \frac{1}{4} = \frac{5}{12}$

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Area common to the curves y = x³, then $y = \sqrt{x}$ is ___ sq.units