let-f-x-x-dt-1-t-2-t-4-1-prove-that-f-id-derivsble-and-calculate-f-x-2-devellpp-f-at-integr-serie-at-o-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 34310 by prof Abdo imad last updated on 03/May/18

let f(x)= ∫_(−∞) ^x (dt/(1+t^2 +t^4 )) 1) prove that f id derivsble and calculate f^′ (x) 2)devellpp f at integr serie at o.

$${let}\:{f}\left({x}\right)=\:\int_{−\infty} ^{{x}} \:\:\frac{{dt}}{\mathrm{1}+{t}^{\mathrm{2}} \:+{t}^{\mathrm{4}} } \\ $$$$\left.\mathrm{1}\right)\:{prove}\:{that}\:{f}\:{id}\:{derivsble}\:{and}\:{calculate}\:{f}^{'} \left({x}\right) \\ $$$$\left.\mathrm{2}\right){devellpp}\:{f}\:{at}\:{integr}\:{serie}\:{at}\:{o}. \\ $$

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