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The integral of 3sin^4(3x)
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\[\int\limits 3\sin ^{4} (3x)\]
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\(\sin^4(3x)=\sin^2(3x)\sin^2(3x)=\sin^2(3x) (1-\cos^2(3x))=\sin^2(3x)-\sin^2(3x)\cos^2(3x)\\=\sin^2(3x)-\frac{1}{4} \sin^2(6x) \)
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