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F-x-cos-1-x-cos-1-t-sin-3-u-du-dy-dF-x-dx-




Question Number 125381 by liberty last updated on 10/Dec/20
 F(x) = cos (∫_1 ^x  cos (∫_1 ^t  sin^3 u du )dy)   ((dF(x))/dx) = ?
$$\:{F}\left({x}\right)\:=\:\mathrm{cos}\:\left(\underset{\mathrm{1}} {\overset{{x}} {\int}}\:\mathrm{cos}\:\left(\underset{\mathrm{1}} {\overset{{t}} {\int}}\:\mathrm{sin}\:^{\mathrm{3}} {u}\:{du}\:\right){dy}\right) \\ $$$$\:\frac{{dF}\left({x}\right)}{{dx}}\:=\:?\: \\ $$

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