What is the integral from 1 to infinity of 1/(xln(x)ln(ln(x))) ?

The integral from 1 to infinity of 1/(xln(x)ln(ln(x))) is diverges

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integral from 1 to infinity of 1/(xln(x)ln(ln(x)))

\int_{1}^{\infty} \frac{1}{x ln ( x ) ln ( ln ( x ) )} d x

diverges

Solution steps

\int_{1}^{\infty} \frac{1}{x ln ( x ) ln ( ln ( x ) )} d x

Adjust integral based on undefined pointsThere is an undefined point within the boundaries at

: e

= \int_{1}^{e} \frac{1}{x ln ( x ) ln ( ln ( x ) )} d x + \int_{e}^{\infty} \frac{1}{x ln ( x ) ln ( ln ( x ) )} d x

\int_{1}^{e} \frac{1}{x ln ( x ) ln ( ln ( x ) )} d x =

diverges

= diverges

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What is the integral from 1 to infinity of 1/(xln(x)ln(ln(x))) ?
The integral from 1 to infinity of 1/(xln(x)ln(ln(x))) is diverges