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integrate (4cos^4 x -4cos^2x+1)^1/2

we must integrate (4cos⁴x-4cos²x+1)^1/2factorise first ((2cos²x-1)²)^1/2this becomes (2cos²x-1)which equals cos 2xthe integral of cos 2x is1/2 sin 2x + C

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integrate (4cos^4 x -4cos^2x+1)^1/2

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