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Question Number 27496 by abdo imad last updated on 07/Jan/18

$$letgivef\left(x\right)={\int }_0^{\propto }\frac{1}{\sqrt{t}}{e}^{-(1+ix)t}dt$$$$calculate{f}^{{}^{\prime }}\left(x\right)provethat\mathrm{\exists }\lambda \in R/{(x+i)}^2{\left(f\left(x\right)\right)}^2=\lambda$$$$thenfind{\int }_0^{\propto }{e}^{-t^2}dt.$$

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