Sr Examen
Integral de 1/(x(1+(lnx)^2)^0,5) dx
Solución
Ha introducido
[src]
1/2 e / | | 1 | ------------------ dx | _____________ | / 2 | x*\/ 1 + log (x) | / 0
$$\int\limits_{0}^{e^{\frac{1}{2}}} \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
Integral(1/(x*sqrt(1 + log(x)^2)), (x, 0, exp(1/2)))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | ------------------ dx = C + | ------------------ dx | _____________ | _____________ | / 2 | / 2 | x*\/ 1 + log (x) | x*\/ 1 + log (x) | | / /
$$\int \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx = C + \int \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
Respuesta
[src]
1/2 e / | | 1 | ------------------ dx | _____________ | / 2 | x*\/ 1 + log (x) | / 0
$$\int\limits_{0}^{e^{\frac{1}{2}}} \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
=
=
1/2 e / | | 1 | ------------------ dx | _____________ | / 2 | x*\/ 1 + log (x) | / 0
$$\int\limits_{0}^{e^{\frac{1}{2}}} \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
Integral(1/(x*sqrt(1 + log(x)^2)), (x, 0, exp(1/2)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.