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