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find-f-0-e-x-2-ch-x-2-dx-with-gt-0-




Question Number 79093 by mathmax by abdo last updated on 22/Jan/20
find  f(λ) =∫_0 ^∞   e^(−λx^2 ) ch(x^2  +λ)dx  with λ>0
$${find}\:\:{f}\left(\lambda\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−\lambda{x}^{\mathrm{2}} } {ch}\left({x}^{\mathrm{2}} \:+\lambda\right){dx}\:\:{with}\:\lambda>\mathrm{0} \\ $$

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