Answer
$-\frac {cos^3x} 3 + \frac{cos^5x} 5+C$
Work Step by Step
$\int sin^3x cos^2xdx$
$\int (1-cos^2x)cos^2xsinxdx$
$\int (cos^2x-cos^4x)sinxdx$
$-\int (cos^2-cos^4)(-sinx)dx$
$-\frac {cos^3x} 3 + \frac{cos^5x} 5+C$
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