Buscar

Loading [MathJax]/jax/output/HTML-CSS/jax.js

Tabla de Integrales
https://espanol.libretexts.org/Matematicas/Calculo_aplicado_(Calaway_Hoffman_y_Lippman)/zz%3A_Volver_Materia/01%3A_Tabla_de_Integrales
$\int \frac{1}{x(a x+b)} d x=\frac{1}{b} \ln \left|\frac{x}{a x+b}\right|+C$ $\int \frac{x}{a x+b} d x=\frac{x}{a}-\frac{b}{a^{2}} \ln |a x+b|+C$ \(\int \frac{1}{(x+a)(x+b)} d x=\frac{1}{b-a}(\l... $\int \frac{1}{x(a x+b)} d x=\frac{1}{b} \ln \left|\frac{x}{a x+b}\right|+C$ $\int \frac{x}{a x+b} d x=\frac{x}{a}-\frac{b}{a^{2}} \ln |a x+b|+C$ $\int \frac{1}{(x+a)(x+b)} d x=\frac{1}{b-a}(\ln |x+a|-\ln |x+b|)+C=\frac{1}{b-a} \ln \left|\frac{x+a}{x+b}\right|+C, \quad a \neq b$ $\int x(a x+b)^{n} d x=\frac{(a x+b)^{n+1}}{a}\left(\frac{a x+b}{n+2}-\frac{b}{n+1}\right)+C, \quad n \neq-1,-2$ $\int x^{n} e^{a x} d x=\frac{1}{a} x^{n} e^{a x}-\frac{n}{a} \int x^{n-1} e^{a x} d x+C$

Search