What is the integral of 1/(ln(n)) ?

The integral of 1/(ln(n)) is x/(ln(n))+C

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integral of 1/(ln(n))

\int \frac{1}{ln ( n )}

\frac{x}{ln ( n )} + C

Solution steps

\int \frac{1}{ln ( n )} d x

Integral of a constant:

\int a d x = a x

= \frac{1}{ln ( n )} x

Simplify

\frac{1}{ln ( n )} x : \frac{x}{ln ( n )}

= \frac{x}{ln ( n )}

Add a constant to the solution

= \frac{x}{ln ( n )} + C