# Integral of 1 Over x lnx

In this tutorial we shall find integration of 1 over x lnx function. To evaluate this integral we shall use the method of substitution of integration.

The integration of the form

To solve this integration, putting $z = \ln x$, on taking differentiation, we have $dz = \frac{1}{x}dx$, so the given integral (i) takes of the form

Using the formula of integration $\int {\frac{1}{x}dx = \ln x + c}$

By putting again the value $z = \ln x$ in the evaluated integral, we have