6.1 Areas Between Curves/11

File:Angel's.png

$y=x^{2}\qquad y={\sqrt {x}}$

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

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