What is the integral from 0 to 1 of 1/(sqrt(-ln(x))) ?

The integral from 0 to 1 of 1/(sqrt(-ln(x))) is sqrt(pi)Does not exist

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integral from 0 to 1 of 1/(sqrt(-ln(x)))

\int_{0}^{1} \frac{1}{- ln ( x )} d x

π Does not exist

Solution steps

\int_{0}^{1} \frac{1}{- ln ( x )} d x

Compute the indefinite integral:

\int \frac{1}{- ln ( x )} d x = - π erf (- ln (x)) + C

Compute the boundaries:

\int_{0}^{1} \frac{1}{- ln ( x )} d x = 0 - (- π Does not exist)

= 0 - (- π Does not exist)

Simplify

= π Does not exist

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What is the integral from 0 to 1 of 1/(sqrt(-ln(x))) ?
The integral from 0 to 1 of 1/(sqrt(-ln(x))) is sqrt(pi)Does not exist