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1-2pii-lim-T-iT-iT-e-st-s-a-ds-




Question Number 138603 by Ar Brandon last updated on 15/Apr/21
(1/(2πi))lim_(T→∞) ∫_(γ−iT) ^(γ+iT) (e^(st) /(s−a))ds
$$\frac{\mathrm{1}}{\mathrm{2}\pi\mathrm{i}}\underset{\mathrm{T}\rightarrow\infty} {\mathrm{lim}}\underset{\gamma−\mathrm{iT}} {\overset{\gamma+\mathrm{iT}} {\int}}\frac{\mathrm{e}^{\mathrm{st}} }{\mathrm{s}−\mathrm{a}}\mathrm{ds} \\ $$

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