Teorema Fundamental del Cálculo

$$\int _{a}^{b} f(x)dx = F(x)]_{a}^{b} = F(b) - F(a)$$

$$\int _{b}^{a} f(x)dx = - \int _{a}^{b} f(x)dx$$

$$\int _{a}^{a} f(x)dx = 0$$

$$\int _{a}^{b} kf(x)dx = k \int _{a}^{b} f(x)dx$$

$$\int _{a}^{b} [f(x) \pm g(x)]dx = \int _{a}^{b} f(x)dx \pm \int _{a}^{b} g(x)dx$$

$$\int _{a}^{b} f(x)dx = \int _{a}^{k} f(x)dx + \int _{k}^{b} f(x)dx$$