Convergent or Divergent integrals

[shut minnow]

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[west whale]

$$\displaystyle \int_0^{\infty} \frac{\sin(x^2)}{1+x^2} ,dx\quad$$

[stiff flax]

Yooda

[west whale]

I dont know where to get started on this question

its nothing like anything we went through in my lectures

I look it up and it uses like topics I just haven't gone through yet called fresnel integrals

[drifting panther]

You just have to prove if it converges or diverges right ?

If so then you can easily bound $x \mapsto \frac{
|sin(x^{2})|}{1+x^{2}}$ by something integrable

[stiff flax]

😑 ɿototoЯ | Rototor 😑

[vernal geyser]

comparison

[vernal geyser]

no, don't calculate the value

only confirm whether the integral converges

||arctan x||

[noble citrus]

@west whale

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[west whale]

+close

[noble citrus]

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