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education/math/MATH1210 (calc 1)/Integrals.md

@@ -189,4 +189,8 @@ $$ L =\int_a^b \sqrt{1 + f'(x)^2} dx$$
 6. $L = \int_{-1}^1 \sqrt{\dfrac{1}{1-x^2}}dx$ 
 7. $L = \int_{-1}^1 \dfrac{1}{\sqrt{1-x^2}}dx$ 
 8. $L = \arcsin(x) \Big|_{-1}^1$ 
-9. $\arcsin($
+
+> 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 $\cos$
+2. Plug into calculator