# Calculus 8 : Rational t'gos

Calculus Level 3

$\large \int_{0}^{\pi} \dfrac{1}{1+\sin x} \, dx$

If the value of above integral is of the form $$\large a^b$$, where $$a$$ and $$b$$ are coprime integers, find the value of $$\dfrac{a}{b}$$.

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