(Step-by-Step) Evaluate the iterated integral ∫_0^(π)/(4) ∫_0^(π)/(2) sin x cos 2 y ~d x ~d
Question: Evaluate the iterated integral \(\int_{0}^{\frac{\pi}{4}} \int_{0}^{\frac{\pi}{2}} \sin x \cos 2 y \mathrm{~d} x \mathrm{~d} y\).
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