(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]f: [0,+\infty) \to \mathbb{R}: y \mapsto \int_0^{+\infty} y \arctan x \exp(-xy)\,dx.

[/tex]

Show that this function is continuous in [tex]y[/tex] if [tex]y \neq 0[/tex]

and discontinuous if [tex]y = 0[/tex]

2. Relevant equations

3. The attempt at a solution

I just can't get started, any hint?

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# Homework Help: Where is the following function continuous

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