A clue here is the ... if that x were a tan of something, how would that change things?
Just in case a picture helps...
... where (key in spoiler) ...
Late edit: Soroban's solution below is a bit simpler, as it does without the trigonometry. Just in case a picture helps...
Don't integrate - balloontegrate!
Balloon Calculus; standard integrals, derivatives and methods
Balloon Calculus Drawing with LaTeX and Asymptote!