6.1 Areas Between Curves/5

${\begin{aligned}&\color {red}\mathbf {y=x+1} &\color {royalblue}\mathbf {y=9-x^{2}} \\&x=-1&x=2\\\end{aligned}}$

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 \int_{-1}^{2}[(9-x^{2}) - (x+1)] dx = [9x-\frac{x^{3}}{3}-\frac{x^{2}}{2}-x]\Bigg|_{-1}^{2} = [9(2)-\frac{(2)^{3}}{3}-\frac{(2)^{2}}{2}-(2) }