Fórmulas básicas de integración

Sean $a$ y $k$ constantes:

• ${\displaystyle \int kdx=kx+C}$
• ${\displaystyle \int x^{a}dx=\frac{x^{a+1}}{a+1}+Ca\ne -1}$
• ${\displaystyle \int x^{-1}dx=\int \frac{dx}{x}=\ln |x|+C}$ para $x>0$
• ${\displaystyle \int e^{x}dx=e^x+C}$
• ${\displaystyle \int k{f}_{(x)}dx=k\int f_{(x)}dx}$
• ${\displaystyle \int (f_{(x)}\pm g_{(x)})dx=\int f_{(x)}dx\pm \int g_{(x)}dx}$