Integral 3 sin x cos x dx

InTegraL

2 sin x cos x = sin 2x
sin x cos x = 1/2 sin 2x

dcos 2x /dx = -2 sin 2x
sin 2x dx = -1/2 dcos 2x

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∫3 sin x cos x dx
= 3/2 ∫ sin 2x dx
= 3/2 ∫ (-1/2) dcos 2x
= -3/4 cos 2x + C