If u = sin^6 x + cos^6x, then u belongs to the interval
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f(x) = sin^6x + cos^6x = (sin^2x)^3 + (cos^2x)^3 (a + b)^3 = a^3 + 3ab(a + b) + b^3 = (sin^2x + cos^2x)^3 - 3 sin^2x cos^2x ( sin^2x + cos^2x) = 1 - .
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