vault backup: 2025-04-17 09:05:41

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arc 2025-04-17 09:05:41 -06:00
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@ -193,4 +193,6 @@ $$ L =\int_a^b \sqrt{1 + f'(x)^2} dx$$
> Set up an integral to find the length of the curve $y = \sin(x)$ from the point $(0, 0)$ to the point $(2\pi, 0)$. > Set up an integral to find the length of the curve $y = \sin(x)$ from the point $(0, 0)$ to the point $(2\pi, 0)$.
1. $L = \int_0^{2\pi} \sqrt{1 + \cos^2{x}}dx$ : The derivative of $\sin$ is $\cos$ 1. $L = \int_0^{2\pi} \sqrt{1 + \cos^2{x}}dx$ : The derivative of $\sin$ is $\cos$
2. Plug into calculator 2. Plug into calculator
# Area Between Curves