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| <math>\color{red} x=4+y^2 \color{blue} x=2y^2</math> | | <math> |
| | \begin{align} |
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| <math>\int_{-2}^{2} (4+y^2)-(y^2)</math>
| | & \color{red} \mathbf{x=4+y^2} |
| | & \color{royalblue}\mathbf{x=2y^2} \\ |
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| | \end{align} |
| | </math> |
| | |
| | <math> |
| | \begin{align} |
| | |
| | 4+y^2 &= 2y^2 \\ |
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| | 4 &=y^2 \\ |
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| | y &=\sqrt{4} \\ |
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| | y &= \pm2 \\ |
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| | \int_{-2}^{2} [(4+y^2)-(2y^2)]dy \\ |
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| | =\int_{-2}^{2} [4-y^2]dy \\ |
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| | =4y-\frac{y^3}{3} \int_{2}^{-2} |
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| | \end{align} |
| | </math> |
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Revision as of 23:19, 17 September 2022
19)
![{\displaystyle {\begin{aligned}4+y^{2}&=2y^{2}\\4&=y^{2}\\y&={\sqrt {4}}\\y&=\pm 2\\\int _{-2}^{2}[(4+y^{2})-(2y^{2})]dy\\=\int _{-2}^{2}[4-y^{2}]dy\\=4y-{\frac {y^{3}}{3}}\int _{2}^{-2}\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/ee049781077858757ab9abfb05a9e086ab6b7b68)
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