6.1 Areas Between Curves/16: Revision history

21 September 2022

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18 September 2022

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• curprev 20:3120:31, 18 September 2022‎ Juanr69976@students.laalliance.org talk contribs‎ 1,304 bytes +1,304‎ Created page with "right|350px| 16) <math> \begin{align} & \color{red} \mathbf{y=x^3-x} & \color{royalblue}\mathbf{y=3x} \\ \end{align} </math> <math> \begin{align} x^3-x &= 3x \\ x^3 &=4x \\ x^2(x) &=4(x) \\ x^2 &=4 \\ x &= \pm2 \\[2ex] \int_{-2}^{2} [(x^3-x)-(3x)]dx \\ =\int_{-2}^{2} [x^3-4x]dx \\[2ex] =\left[\frac{x^4}{4}-2x^2\right]\Bigg|_{-2}^{2}\\[2ex] =\frac{(2)^4}{4}-2(2)^2-\left(\frac{(-2)^4}{4}-2(-2)^2\right)\\[2ex] =\frac{16}{4}-2..."