I use a website called integral of the day, all the previous ones have answers, but todays I cannot ind an answer for and no online calculators can do it either.
Even simpler integral: $$\int \frac{\tan (x)}{x} dx $$ does not have finite closed-form expression in terms of very large class of special functions.
f[up_] := NIntegrate[Tan[x]/(x + Sin[x]), {x, 0, up}] Plot[f[up], {up, 0, 2}]
