Learn how to solve problems step by step online. Integrate the function 1/(xln(x)^2) from 0 to 2. Since the integral \int_{0}^{2}\frac{1}{x\ln\left(x\right)^2}dx has a discontinuity inside the interval, we have to split it in two integrals. The integral \int_{0}^{1}\frac{1}{x\ln\left(x\right)^2}dx results in: \lim_{c\to1}\left(\frac{1}{-\ln\left(c\right)}\right). The integral \int_{1}^{2}\frac{1}{x\ln\left(x\right)^2}dx results in: \lim_{c\to1}\left(\frac{1}{-\ln\left(2\right)}+\frac{1}{\ln\left(c\right)}\right). Gather the results of all integrals.

Integrate the function 1/(xln(x)^2) from 0 to 2