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rewrite sin^3x-cos^2x sin^3x as a single trigonometric function
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\[\sin^3x-\cos^2x *\sin^3x=\sin^3x(1-\cos^2x)=\sin^3x * \sin^2x= \sin^5x\]
take sin^3x common and 1-cos^2x=sin^2x
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