Easy Calculus

Calculus Level pending

\[\large \int_0^{\frac{\pi}{2}} ~~ \tan\left(\frac{\theta}{2}\right) ~ d\theta \]

If the value of above integral is in the form \( \ln \left(A\right) \), find the value of \(A\).

Notation: \( \ln \left( \cdot \right) = \log_e (\cdot) \) denotes the natural logarithmic function.

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