Mathematica: Bug in Integrate involving Sec

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Bug in Integrate involving Sec
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Thanks to all those great people for their contributions!

(mathematica.stackexchange.com/users/96326/paul-r)Paul R
(mathematica.stackexchange.com/users/9362/bob-hanlon)Bob Hanlon
(mathematica.stackexchange.com/users/4999/michael-e2)Michael E2
(mathematica.stackexchange.com/users/36788/mikado)mikado
(mathematica.stackexchange.com/users/16361/dr-wolfgang-hintze)Dr. Wolfgang Hintze
A special thanks goes out to the (mathematica.stackexchange.com/questions/309231/bug-in-integrate-involving-sec)Stackexchange community

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bugs calculus-and-analysis