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Integrating Powers of Sine and Cosine

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Evaluate ∫sin⁡3(x)cos⁡2(x) dx\int \sin^3(x) \cos^2(x)\,dx.

A

15sin⁡5(x)+C\frac{1}{5}\sin^5(x) + C

B

−13cos⁡3(x)+15cos⁡5(x)+C-\frac{1}{3}\cos^3(x) + \frac{1}{5}\cos^5(x) + C

C

15sin⁡5(x)cos⁡(x)+C\frac{1}{5}\sin^5(x)\cos(x) + C

D

14sin⁡4(x)−16sin⁡6(x)+C\frac{1}{4}\sin^4(x) - \frac{1}{6}\sin^6(x) + C

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