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∫ 1/2 ( sin (5x + 7x ) + sin ( 5x - 7x ) dx
∫ 1/2 (sin 12x) + (- sin 2x ) dx
1/2 (-1/12 cos 12x ) - ( -1/2 cos 2x)+c
-1/24 cos 12x + 1/4 cos 2x + c