I need to calculate following improper integral: $$ \int_{0}^{\pi/2} \frac {\sqrt{x} } { (\pi/2-x)(1-e^{\tan(x)}) } dx $$
I have no idea where to start.
2026-04-02 20:12:52.1775160772
Improper integral $ \int_{0}^{\pi/2} \frac {\sqrt{x} } { (\pi/2-x)(1-\exp(\tan(x))) } dx $
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