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Question Number 216819 by MrGaster last updated on 22/Feb/25

$$\mathrm{Prove}:{\int }_0^1\frac{\mathbf{K}\left(x\right)}{\sqrt{3-x}}dx=\frac{1}{96\pi \sqrt{3}}\times \mathrm{\Gamma }\left(\frac{1}{24}\right)\mathrm{\Gamma }\left(\frac{3}{24}\right)\mathrm{\Gamma }\left(\frac{7}{24}\right)\mathrm{\Gamma }\left(\frac{11}{24}\right)$$

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