6.1 Areas Between Curves/25

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

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 \begin{align} \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)}\right)-\left(x^{2}\right) dx &= \left[(2\arctan(x)-\frac{x^{3}}{3})\right]\Bigg|_{-1}^{1} \\[2ex] &= \left[(2\arctan(1)-\frac{(1)^{3}}{3})\right]-\left[((2\arctan(-1)-\frac{(-1)^{3}}{3})\right] \\[2ex] \end{align} }