Question

Integral (indef) de: [Ln(ln(x))] / [xLn(x)] ???????????

Answer 1

Integral [ln(ln(x))/(x*ln(x)) dx]

Sustituir: u=ln(x)        du=1/x dx

Integral [ln(u)/(u) du]

Sustituir: v=ln(u)        dv=1/u du

Integral [v dv]

=> v^2/2 + Constante

=> Remplazando 1/2*ln^2(u) + Constante

:. Remplazando 1/2*ln^2(ln(x)) + Constante