Problem 1590 (difficulty: 7/10)

Show that for all \(\displaystyle a \in \C\)

\(\displaystyle \int_{-\infty}^\infty e^{-x^2/2}\cdot e^{iax}\dx = \sqrt{2\pi}\cdot e^{-a^2/2}. \)

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

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