let-give-f-x-0-x-t-2-e-2t-2-sin-2-x-t-dt-calculate-f-4f-then-finf-f-x-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 31101 by abdo imad last updated on 02/Mar/18

let give f(x)= ∫_0 ^x t^2 e^(−2t^2 ) sin(2(x−t))dt calculate f^(′′) +4f then finf f(x).

$${let}\:{give}\:{f}\left({x}\right)=\:\int_{\mathrm{0}} ^{{x}} \:{t}^{\mathrm{2}} \:{e}^{−\mathrm{2}{t}^{\mathrm{2}} } {sin}\left(\mathrm{2}\left({x}−{t}\right)\right){dt}\:{calculate} \\ $$$${f}^{''} \:+\mathrm{4}{f}\:\:{then}\:{finf}\:{f}\left({x}\right). \\ $$

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let-give-f-x-0-x-t-2-e-2t-2-sin-2-x-t-dt-calculate-f-4f-then-finf-f-x-

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