6.1 Areas Between Curves/11

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle y=x^{2} \qquad y=\sqrt{x}}

$\int _{0}^{1}({\sqrt {x}}-x^{2})=[{\frac {2}{3}}x^{\frac {3}{2}}-{\frac {x^{3}}{3}}]$

$={\frac {2}{3}}(1)^{\frac {3}{2}}-{\frac {(1)^{3}}{3}}={\frac {1}{3}}$