Sr Examen
Integral de 1/(x(ln^2x+2)) dx
Solución
Ha introducido
[src]
oo
/
|
| 1
| --------------- dx
| / 2 \
| x*\log (x) + 2/
|
/
___
\/ 6
e
$$\int\limits_{e^{\sqrt{6}}}^{\infty} \frac{1}{x \left(\log{\left(x \right)}^{2} + 2\right)}\, dx$$
Integral(1/(x*(log(x)^2 + 2)), (x, exp(sqrt(6)), oo))
Respuesta (Indefinida)
[src]
/ | | 1 / 2 \ | --------------- dx = C + RootSum\8*z + 1, i -> i*log(4*i + log(x))/ | / 2 \ | x*\log (x) + 2/ | /
$$\int \frac{1}{x \left(\log{\left(x \right)}^{2} + 2\right)}\, dx = C + \operatorname{RootSum} {\left(8 z^{2} + 1, \left( i \mapsto i \log{\left(4 i + \log{\left(x \right)} \right)} \right)\right)}$$
Respuesta
[src]
oo
/
|
| 1
| --------------- dx
| / 2 \
| x*\2 + log (x)/
|
/
___
\/ 6
e
$$\int\limits_{e^{\sqrt{6}}}^{\infty} \frac{1}{x \left(\log{\left(x \right)}^{2} + 2\right)}\, dx$$
=
=
oo
/
|
| 1
| --------------- dx
| / 2 \
| x*\2 + log (x)/
|
/
___
\/ 6
e
$$\int\limits_{e^{\sqrt{6}}}^{\infty} \frac{1}{x \left(\log{\left(x \right)}^{2} + 2\right)}\, dx$$
Integral(1/(x*(2 + log(x)^2)), (x, exp(sqrt(6)), oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.