Solution-of-the-equation-2-x-dx-x-x-2-1-pi-12-is-x-

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

Solution of the equation

\underset{\sqrt{2}}{\int^{x}} \frac{d x}{x \sqrt{x^{2} - 1}} = \frac{π}{12} is x =_____.

Answered by ajfour last updated on 16/Jul/19

\cos^{- 1} \frac{1}{x} - \frac{π}{4} = \frac{π}{12}

\Rightarrow \frac{1}{x} = \cos \frac{π}{3} \Rightarrow x = 2 .

Facebook Tweet Pin