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Question Number 155134 by amin96 last updated on 25/Sep/21

∫_0 ^(π/2) sin^(2n) (x)dx=?

$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \boldsymbol{\mathrm{sin}}^{\mathrm{2}\boldsymbol{\mathrm{n}}} \left({x}\right){dx}=? \\ $$

Answered by phanphuoc last updated on 26/Sep/21

π/24^n . (((2n)),(n) )      this is wallis′=intergral

$$\pi/\mathrm{24}^{{n}} .\begin{pmatrix}{\mathrm{2}{n}}\\{{n}}\end{pmatrix}\:\:\:\:\:\:{this}\:{is}\:{wallis}'={intergral} \\ $$$$ \\ $$$$ \\ $$

Commented by amin96 last updated on 26/Sep/21


$${yes}\: \\ $$

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