Proving $\int_{0}^{\infty}{\tanh^2(t)\tanh(2t)\over t^2}\mathrm dt=2\ln 2$

[Tony1]

Prove that,

$$\int_{0}^{\infty}{\tanh^2(t)\tanh(2t)\over t^2}\mathrm dt=\color{blue}{2\ln 2}$$

 

[Greg]

Hi Tony. I recommend you read up on our guidelines for posting challenge problems, found https://mathhelpboards.com/challenge-questions-puzzles-28/guidelines-posting-answering-challenging-problem-puzzle-3875.html.