....nice calculus... prove that : (√(5π))≤ ∫_0 ^( (π/3)) ((9(√3))/(2π))(√(8sin(x)−sin(2x))) dx≤(√(6π)) ...m.n....


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Question Number 134672 by mnjuly1970 last updated on 06/Mar/21

$. . . . n i c e c a l c u l u s . . .$ $p r o v e t h a t :$ $\sqrt{5 π} ⩽ \int_{0}^{\frac{π}{3}} \frac{9 \sqrt{3}}{2 π} \sqrt{8 s i n (x) - s i n (2 x)} d x ⩽ \sqrt{6 π}$ $. . . m . n . . . .$
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