An 'impossible' integral to solve (Mathematica fails):
\[\int_{2}^{3} \frac{{1 - \tan\frac{{\sec^{-1}x}}{2}}}{{1 + \tan\frac{{\sec^{-1}x}}{2}}}\sqrt{\tan\frac{\csc^{-1}x}{2}} \,dx\]
Unless you know my new technique:
https://mathoverflow.net/questions/463459/identities-that-simplify-tedious-integrals?noredirect=1#comment1203657_463459
#math #impossibleintegral #calculus #halfangleapproach #symmetrymatters
Identities that simplify tedious integrals

The following identities have been suggested based on formulas in a previous question of mine. If complex $\theta_1=\cos^{-1}(p)$ and $\theta_2=\sec^{-1}(p)$, where $p\geq-1$ and $p\neq0$, then the

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