Evaluate 3 sin(x) cos(x) dx by four methods. (a) the substitution u = cos(x) 0-흑 cos2(x) + C O sin(x) cos(x) + C 0-흑 sin2(x) + c O cos(2x) + c O sin(2x) + c (b) the substitution u = sin(x) O2 cos(2x) + c 2 sin(2x) + C 0 흑 cos?(x) + C O2 sin(x) cos(x) + C 0 흑 sin2(x) + C (c) the identity sin(2x) = 2 sin(x) cos(x) ㅇ클 cos2(x) + C sin(x) cos(x) + C O 2 sin(2x) + C cos(2x) + C O - sin?(x) + C (d) integration by parts ㅇ cos2(x) + C ○으 Cos(2x) + C 2 sin(2x) + C 2 sin(x) cos(x) + C O sin?(x) + C

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