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Question Number 64225 by mmkkmm000m last updated on 16/Jul/19

$$\mathrm{Solution}\mathrm{of}\mathrm{the}\mathrm{equation}$$$$\underset{\sqrt{2}}{\stackrel{x}{\int }}\frac{dx}{x\sqrt{x^2-1}}=\frac{\pi }{12}\mathrm{is}x=\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}.$$

Answered by ajfour last updated on 16/Jul/19

$${\cos }^{-1}\frac{1}{x}-\frac{\pi }{4}=\frac{\pi }{12}$$$$\Rightarrow \frac{1}{x}=\cos \frac{\pi }{3}\Rightarrow x=2.$$

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