Mathematics, 08.12.2019 17:31 bri9263

Prove that:

$\displaystyle \int_{-\infty}^{\infty}\dfrac{\sin \left(\theta + \frac{\pi}{2}\right)d\theta}{1 + \theta^2} \leq \dfrac{\pi}{2e\sqrt{e}}\left(e^{sin ^2\theta}+r^{cos^2\theta\right)} , \theta \in \mathbb{r}$

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Prove that:

[tex]\displaystyle \int_{-\infty}^{\infty}\dfrac{\sin \left(\theta + \frac{\...