Trigonometrical Integrals

Calculus Level 3

0π11+tanxdx\large \displaystyle \int_{0}^{\pi} \dfrac{1}{1+ \tan x} dx

Evaluate the Cauchy principal value of the above integral. If your answer comes as πA\dfrac{\pi}{A}, then find the value of AA.


Image Credit: Wikimedia ThibautLienart.
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