# How do you find the integral of #sin^3(x) cos^2(x) dx#?

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To integrate sin^3(x) cos^2(x) dx, you can use trigonometric identities to simplify the integral. Specifically, you can use the identity sin^2(x) = 1 - cos^2(x) to rewrite sin^3(x) as sin(x) * (1 - cos^2(x)), which can then be expanded using the distributive property. After expanding, you will have a combination of sine and cosine terms that can be integrated separately.

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