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let-give-f-x-0-1-t-e-1-ix-t-dt-calculate-f-x-prove-that-R-x-i-2-f-x-2-then-find-0-e-t-2-dt-

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Question Number 27496 by abdo imad last updated on 07/Jan/18
let give f(x)= ∫_0 ^∝ (1/( (√t))) e^(−(1+ix)t) dt calculate f^′ (x) prove that ∃λ∈R/(x+i)^2 (f(x))^2 = λ then find ∫_0 ^∝ e^(−t^2 ) dt .
letgivef(x)=∫0∝1te−(1+ix)tdtcalculatef′(x)provethat∃λ∈R/(x+i)2(f(x))2=λthenfind∫0∝e−t2dt.

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