$$\int_e^\infty\frac{2}{x-\ln(x)}\mathrm dx$$
I'm not sure how to integrate. What are your hints?
Hint:
$$\int_{e}^{\infty}\frac{2}{x-\ln{(x)}}\,\mathrm{d}x>\int_{e}^{\infty}\frac{1}{x}\,\mathrm{d}x$$
Copyright © 2021 JogjaFile Inc.
Hint:
$$\int_{e}^{\infty}\frac{2}{x-\ln{(x)}}\,\mathrm{d}x>\int_{e}^{\infty}\frac{1}{x}\,\mathrm{d}x$$