6.1 Areas Between Curves/8

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

$x=4\qquad x=-1$

$\int _{-1}^{4}(x+4-x^{2}+2x)dx$

$={\Bigg |}_{-1}^{4}{\frac {3}{2}}x^{2}+4x-{\frac {1}{3}}x^{3}$

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{3}{2}(4)^2-\frac{1}{3}(4)^3+\frac{3}{2}(-1)^2+4(-1)-\frac{1}{3}(-1)^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{125}{6} }