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let-f-x-0-arctan-xt-2-1-t-4-dt-1-calculate-f-x-2-find-a-simple-form-of-f-x-

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Question Number 36420 by abdo.msup.com last updated on 01/Jun/18
let f(x)=∫_0 ^∞ (( arctan(xt^2 ))/(1+t^4 ))dt 1) calculate f^′ (x) 2) find a simple form of f(x).
letf(x)=∫0∞arctan(xt2)1+t4dt1)calculatef′(x)2)findasimpleformoff(x).

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