Sr Examen
Integral de lnx/((x^3)×sqrt(1+(lnx)^2)) dx
Solución
Ha introducido
[src]
1 / | | log(x) | ------------------- dx | _____________ | 3 / 2 | x *\/ 1 + log (x) | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(x \right)}}{x^{3} \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
Integral(log(x)/((x^3*sqrt(1 + log(x)^2))), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | log(x) | log(x) | ------------------- dx = C + | ------------------- dx | _____________ | _____________ | 3 / 2 | 3 / 2 | x *\/ 1 + log (x) | x *\/ 1 + log (x) | | / /
$$\int \frac{\log{\left(x \right)}}{x^{3} \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx = C + \int \frac{\log{\left(x \right)}}{x^{3} \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
Respuesta
[src]
1 / | | log(x) | ------------------- dx | _____________ | 3 / 2 | x *\/ 1 + log (x) | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(x \right)}}{x^{3} \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
=
=
1 / | | log(x) | ------------------- dx | _____________ | 3 / 2 | x *\/ 1 + log (x) | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(x \right)}}{x^{3} \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
Integral(log(x)/(x^3*sqrt(1 + log(x)^2)), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.