Integral 10 cos 3x cos 2x dx

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2 cos 3x cos 2x = cos 5x + cos x

∫10 cos 3x cos 2x dx
= 5 ∫2 cos 3x cos 2x dx
= 5 ∫(cos 5x + cos x) dx
= 5 ( 1/5 ∫dsin 5x + ∫dsin x)
= 5 (1/5 sin 5x + sin x) + C
= sin 5x + 5 sin x + C