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arXiv · 2305.08966

On a Class of Integrals related to Wallis Integrals

Andie Burazin·Veselin Jungić·Miroslav Lovrić
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Abstract

In this article we provide a motivation for studying integrals $\displaystyle \int_0^{\frac{\pi}{2}}x\cos^mx~dx$, $m\in \mathbb{N}$. We demonstrate several properties of this class of integrals and show that it is closely related to the class of Wallis integrals, $\displaystyle \int_0^{\frac{\pi}{2}}\cos^mx~dx$, $m\in \mathbb{N}$.

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Andie Burazin, Veselin Jungić, Miroslav Lovrić. 2023-05-15. On a Class of Integrals related to Wallis Integrals. https://arxiv.org/abs/2305.08966

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