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F-x-1-h-2-0-h-d-0-h-f-x-d-Calculate-F-x-




Question Number 139932 by Ar Brandon last updated on 02/May/21
F(x)=(1/h^2 )∫_0 ^h dξ∫_0 ^h f(x+ξ+η)dη  Calculate F′′(x)
$$\mathrm{F}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{h}^{\mathrm{2}} }\int_{\mathrm{0}} ^{\mathrm{h}} \mathrm{d}\xi\int_{\mathrm{0}} ^{\mathrm{h}} \mathrm{f}\left(\mathrm{x}+\xi+\eta\right)\mathrm{d}\eta \\ $$$$\mathrm{Calculate}\:\mathrm{F}''\left(\mathrm{x}\right) \\ $$

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