AP

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

2. Evaluate ∫cos⁡3(3x)sin⁡(3x)dx\int \cos ^{3}(3 x) \sin (3 x) d x. (A) sin⁡4(3x)12cos⁡2(3x)3+C\frac{\sin ^{4}(3 x)}{12} \frac{\cos ^{2}(3 x)}{3}+C (B) −sin⁡4(3x)12cos⁡2(3x)3+C-\frac{\sin ^{4}(3 x)}{12} \frac{\cos ^{2}(3 x)}{3}+C (C) cos⁡4(3x)12+C\frac{\cos ^{4}(3 x)}{12}+C (D) −cos⁡4(3x)12+C-\frac{\cos ^{4}(3 x)}{12}+C

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