Mathematics - Area Under Curves Question with Solution | TestHub

$\begin{array}{rl}& A={\int }_{-2}^1\left(x+7-x^2-1\right)dx+{\int }_1^2\left(11+3x-x^2-1\right)dx\\ & ={\left[\frac{x^2}{2}+6x-\frac{x^3}{3}\right]}_{-2}^1+{\left[10x-\frac{3x^2}{2}-\frac{x^3}{3}\right]}_1^2\\ & =\frac{50}{3}\Rightarrow 3A=50\text{ Option (1) }\end{array}$