Trigonometrical Integrals

Calculus Level 4

\[\large \displaystyle \int_{0}^{\pi} \dfrac{1}{1+ \tan x} dx \]

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


Image Credit: Wikimedia ThibautLienart.
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