6.1 Areas Between Curves/12: Revision history

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22 September 2022

  • curprev 22:4822:48, 22 September 2022Ricardom59381@students.laalliance.org talk contribs 1,308 bytes +1,308 Created page with "<math> \begin{align} & \color{red}\mathbf{y=x^2} & \color{royalblue}\mathbf{y=4x-x^2} \\ & x=0 & x=2 \\ \end{align} </math> <math>\int_{0}^{2} \left|(8-x^2) - (x^2)\right|dx </math> <math> \begin{align} 8-x^2 &= x^2 \\ -2x^2 &= -8 \\ x^2 &= 4 \\ x &= \pm2 \end{align} </math> <math>\int_{-3}^{3} \left|(8-x^2) - (x^2)\right|dx = \int_{-3}^{-2}\left((x^2)-(8-x^2)\right)dx + \int_{-2}^{2} \left((8-x^2) - (x^2)\right)dx + \int_{2}^{3}\left((x^2)-(8-x^2)\right)dx =..."