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Integrate[(1 - Cos[2 p + q])/( 2 - Cos[p] - Cos[q]), {p, 0, 2 \[Pi]}, {q, 0, 2 \[Pi]}]
Integrate[(1 - Cos[2 p + q])/( 2 - Cos[p] - Cos[q]), {p, 0, 2 \[Pi]}, {q, 0, 2 \[Pi]}]
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