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