Is the integral
$$ \int_{1}^{\infty} e^{-yx^2}\sin{y}dx.$$
uniformly convergent in $y \in [0,\infty]$? Why or why not?
Is the integral
$$ \int_{1}^{\infty} e^{-yx^2}\sin{y}dx.$$
uniformly convergent in $y \in [0,\infty]$? Why or why not?
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