# Try spelling the method you need

Calculus Level 2

The value of the integral $\int_0^{\pi/2}\dfrac{\text dx}{2+\cos x}$ can be expressed in the form $$\dfrac{\pi^A\sqrt{B}}{C}$$ where $$A$$, $$B$$, $$C$$ are positive integers and $$B$$ is not divisible by the square of any prime. Find the value of $$A+B+C.$$

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