Who's up to the challenge? 71
Calculus
Level
5
\[\int _{ 0 }^{ \pi /2 }{ \sqrt { \sin { x } } \, dx } =\dfrac { \sqrt { A } }{ \sqrt { \pi } } \left(\Gamma \left( \frac { C }{ D } \right)\right)^B \]
The equation above holds for positive integers \(A,B,C\) and \(D\) with \(C,D\) coprime. Find \( A+B+C+D\).
Notation: \( \Gamma(\cdot) \) denotes the Gamma function.
by
Hummus a