Evaluate the integral. /2 S 63 sin x cos x dx /2 S 0 3 63 sin x cos x dx = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Evaluate the following integral. 5 sin 3x cos 7x dx 5 5 sin 3x cos 7x dx = | sin 12x cos 9x dx. Use the following three identities to evaluate sin sx cos tx = 1 S si 2[sin (s + t)x + sin (s t)x] - - 2 [cos (s + t)x = cos (s t)x] 1 sin sx sin tx = - 2 Icos 1 cos sx cos tx = [cos (s+t)x + cos (s t)x] sin 12x cos 9x dx =