Normally I could figure out how to solve integrals and I require some help in the more conceptual or forumla type stuff. However this integral has been kicking my ass
$$ \int dx =\int \frac{(1+2\ln(t))\,\tan(t)}{t}\,dt$$ with bounds $ x >=0, t>0 $
So I attempted to do this using integration by parts, and at first I let $u=\tan(t) $ and $dv= \frac{1+2\ln(t)}{t}$ however as I kept doing it and doing it, it just got uglier and uglier and more confusing and just ended up in a huge mess.
I even tried using one of those online calculators and it didn't work.
