6.1 Areas Between Curves/25

${\begin{aligned}&\color {red}\mathbf {y=x^{2}} &\color {royalblue}\mathbf {y={\frac {2}{({x^{2}}+1)}}} \\\end{aligned}}$

$\int _{1}^{-1}\left({\frac {2}{({x^{2}}+1)}}\right)-\left(x^{2}\right)dx=\int _{1}^{-1}\left(2\cdot {\frac {1}{(x^{2}+1)}}-(x^{2})\right)dx$