6.1 Areas Between Curves/20

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 4x+y^2=12, x=y }

${\frac {4x}{4}}={\frac {-y^{2}+12}{4}}$

$x=-{\frac {1}{4}}y^{2}+3$

$\int _{0}^{3}(-{\frac {1}{4}}y^{2}-y+3)-y$

$\int _{0}^{3}-{\frac {1}{4}}y^{2}-y+3$

${\frac {{\frac {1}{4}}y^{3}}{3}}-{\frac {y^{2}}{2}}+3y$

$-{\frac {1}{12}}y^{3}-{\frac {1}{2}}y^{2}+3y{\bigg |}_{0}^{3}$

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{1}{12}(3)^3-\frac{1}{2}(3)^2+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 =2.25 }