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$\int_{\sqrt{2}}^{2}\frac{1}{x^2\sqrt{x^2}-1}dx$
Learn how to solve problems step by step online. Integrate the function 1/(x^2x^2^1/2-1) from 2^1/2 to 2. Simplifying. Solve the integral applying the substitution u^2=x^2\sqrt{x^2}. Then, take the square root of both sides, simplifying we have. Now, in order to rewrite dx in terms of du, we need to find the derivative of u. We need to calculate du, we can do that by deriving the equation above. Isolate dx in the previous equation.