Final Answer
Step-by-step Solution
Specify the solving method
Rewrite the fraction $\frac{1}{x\ln\left(x\right)}$ inside the integral as the product of two functions: $1\left(\frac{1}{x\ln\left(x\right)}\right)$
Learn how to solve definite integrals problems step by step online.
$\int1\left(\frac{1}{x\ln\left(x\right)}\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/(xln(x)) from e to infinity. Rewrite the fraction \frac{1}{x\ln\left(x\right)} inside the integral as the product of two functions: 1\left(\frac{1}{x\ln\left(x\right)}\right). We can solve the integral \int1\left(\frac{1}{x\ln\left(x\right)}\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.