Question: In problems, use integration by parts to derive the given formula. (a) sin x sin3x dx = -3/8 sin x cos3x + 1/8 cos

In problems, use integration by parts to derive the given formula.
(a) ∫ sin x sin3x dx = -3/8 sin x cos3x + 1/8 cos x sin 3x + C
(b) ∫ cos 5x sin7x dx = -7/24 cos 5x cos 7x - 5/24 sin 5x 7x + C

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