6.1 Areas Between Curves/14: Difference between revisions
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(Created page with "<math> \begin{align} & y=\cos(x), y=2-\cos(x)\\ & \int_{0}^{2\pi} \left[2 - \cos(x) - \cos(x) \right]\mathrm{d}x = \int_{0}^{2\pi} \left[2 - 2\cos(x)\right]\mathrm{d}x\\ &= \left[ 2x-2\sin(x) \right]\bigg|_{0}^{2\pi}\\ &= \left(4\pi - 0 \right) - \left(0\right)\\ &= 4\pi \end{align} </math>") |
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Revision as of 00:21, 19 September 2022
![{\displaystyle {\begin{aligned}&y=\cos(x),y=2-\cos(x)\\&\int _{0}^{2\pi }\left[2-\cos(x)-\cos(x)\right]\mathrm {d} x=\int _{0}^{2\pi }\left[2-2\cos(x)\right]\mathrm {d} x\\&=\left[2x-2\sin(x)\right]{\bigg |}_{0}^{2\pi }\\&=\left(4\pi -0\right)-\left(0\right)\\&=4\pi \end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/a1358cdb5e985cef3924659b8bd2a701b3a89d29)