Sr Examen
Integral de 1/(x*(sqrt(ln^2(x)+8))) dx
Solución
Ha introducido
[src]
x x*e / | | 1 | ------------------ dx | _____________ | / 2 | x*\/ log (x) + 8 | / 1
$$\int\limits_{1}^{x e^{x}} \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 8}}\, dx$$
Integral(1/(x*sqrt(log(x)^2 + 8)), (x, 1, x*exp(x)))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | ------------------ dx = C + | ------------------ dx | _____________ | _____________ | / 2 | / 2 | x*\/ log (x) + 8 | x*\/ 8 + log (x) | | / /
$$\int \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 8}}\, dx = C + \int \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 8}}\, dx$$
Respuesta
[src]
x x*e / | | 1 | ------------------ dx | _____________ | / 2 | x*\/ 8 + log (x) | / 1
$$\int\limits_{1}^{x e^{x}} \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 8}}\, dx$$
=
=
x x*e / | | 1 | ------------------ dx | _____________ | / 2 | x*\/ 8 + log (x) | / 1
$$\int\limits_{1}^{x e^{x}} \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 8}}\, dx$$
Integral(1/(x*sqrt(8 + log(x)^2)), (x, 1, x*exp(x)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.