let-h-t-e-t-e-t-and-for-n-0-we-put-h-n-t-nh-nt-calculate-h-n-t-dt-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 35611 by abdo mathsup 649 cc last updated on 21/May/18

let h(t) = e^(t−e^t ) and for n≥0 we put h_n (t) =nh(nt) calculate ∫_(−∞) ^(+∞) h_n (t)dt .

$${let}\:{h}\left({t}\right)\:=\:{e}^{{t}−{e}^{{t}} } \:\:\:\:{and}\:{for}\:{n}\geqslant\mathrm{0}\:{we}\:{put} \\ $$$${h}_{{n}} \left({t}\right)\:={nh}\left({nt}\right) \\ $$$${calculate}\:\:\int_{−\infty} ^{+\infty} \:{h}_{{n}} \left({t}\right){dt}\:. \\ $$

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let-h-t-e-t-e-t-and-for-n-0-we-put-h-n-t-nh-nt-calculate-h-n-t-dt-

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