Math — Arc Length, Surface & Volume
Arc length, surface of revolution and solids of revolution.
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L = \int_a^b \sqrt{1 + (f'(x))^2}\,dx
S = 2\pi\int_a^b f(x)\sqrt{1 + (f'(x))^2}\,dx
V = \pi\int_a^b [f(x)]^2\,dx
V = 2\pi\int_a^b x\,f(x)\,dx