6.1 Areas Between Curves/5

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

$\int _{-1}^{2}((9-x^{2})-(x+1))dx=9x-{\frac {x^{3}}{3}}-{\frac {x^{2}}{2}}-x{\Bigg |}_{-1}^{2}$