Sr Examen
Integral de 1/(x*(1+(ln(x)^2)/x)) dx
Solución
Ha introducido
[src]
E / | | 1 | --------------- dx | / 2 \ | | log (x)| | x*|1 + -------| | \ x / | / 1
$$\int\limits_{1}^{e} \frac{1}{x \left(1 + \frac{\log{\left(x \right)}^{2}}{x}\right)}\, dx$$
Integral(1/(x*(1 + log(x)^2/x)), (x, 1, E))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | --------------- dx = C + | --------------- dx | / 2 \ | / 2 \ | | log (x)| | | log (x)| | x*|1 + -------| | x*|1 + -------| | \ x / | \ x / | | / /
$$\int \frac{1}{x \left(1 + \frac{\log{\left(x \right)}^{2}}{x}\right)}\, dx = C + \int \frac{1}{x \left(1 + \frac{\log{\left(x \right)}^{2}}{x}\right)}\, dx$$
Respuesta
[src]
E / | | 1 | --------------- dx | / 2 \ | | log (x)| | x*|1 + -------| | \ x / | / 1
$$\int\limits_{1}^{e} \frac{1}{x \left(1 + \frac{\log{\left(x \right)}^{2}}{x}\right)}\, dx$$
=
=
E / | | 1 | --------------- dx | / 2 \ | | log (x)| | x*|1 + -------| | \ x / | / 1
$$\int\limits_{1}^{e} \frac{1}{x \left(1 + \frac{\log{\left(x \right)}^{2}}{x}\right)}\, dx$$
Integral(1/(x*(1 + log(x)^2/x)), (x, 1, E))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.