Explore IDNLearn.com's extensive Q&A database and find the answers you're looking for. Our platform is designed to provide trustworthy and thorough answers to any questions you may have.

[tex] \rm\int_{ - \frac{\pi}{2} }^{ \frac{{\pi}}{2} } \frac{ \cos(x) }{1 + {cos}^{ \tan(x) } (x)} dx \\ [/tex]​