Definite Integrals

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Newton-Leibnitz formula

\int_{a}^{b} f (x) d x = F (b) - F (a); x \in [a, b], F' (x) = f

Rules of Definite Integrals

\int_{a}^{b} c \cdot f (x) d x = c \cdot \int_{a}^{b} f (x) d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x

\int_{a}^{b} [f (x) \pm g (x)] d x = \int_{a}^{b} f (x) d x \pm \int_{a}^{b} g (x) d x

\int_{a}^{b} f (x) d x = \int_{a}^{c} f (x) d x + \int_{c}^{b} f (x) d x

Keywords: definite integrals, Newton-Leibnitz formula, rules

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Definite Integrals

Definite Integrals