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Calculus (Derivatives, Integrals, Limits)

Fundamental theorem, chain rule, integration by parts, common limits.

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\frac{d}{dx}\!\left[ f(g(x)) \right] = f'(g(x))\, g'(x)

\int_a^b f(x)\, dx = F(b) - F(a)

\int u\, dv = uv - \int v\, du

\lim_{x \to 0} \frac{\sin x}{x} = 1

\sum_{n=0}^{\infty} \frac{x^n}{n!} = e^x