$$ \int_0^\infty e^{-x^2}\cos(x) dx$$
I got to the following
$$\Re[\int_0^\infty e^{-(x-{i\over2})^2}.e^{1\over4}dx]$$
How I proceed further ?
$$ \int_0^\infty e^{-x^2}\cos(x) dx$$
I got to the following
$$\Re[\int_0^\infty e^{-(x-{i\over2})^2}.e^{1\over4}dx]$$
How I proceed further ?
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