Question Number 155134 by amin96 last updated on 25/Sep/21
$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \boldsymbol{\mathrm{sin}}^{\mathrm{2}\boldsymbol{\mathrm{n}}} \left({x}\right){dx}=? \\ $$
Answered by phanphuoc last updated on 26/Sep/21
$$\pi/\mathrm{24}^{{n}} .\begin{pmatrix}{\mathrm{2}{n}}\\{{n}}\end{pmatrix}\:\:\:\:\:\:{this}\:{is}\:{wallis}'={intergral} \\ $$$$ \\ $$$$ \\ $$
Commented by amin96 last updated on 26/Sep/21
$${yes}\: \\ $$