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Simplify the expression inside the integral
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$4\int_{1}^{2}\frac{x}{\sqrt{2}x-1}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (4x)/((2x^2)^1/2-1) from 1 to 2. Simplify the expression inside the integral. Rewrite the fraction \frac{x}{\sqrt{2}x-1} inside the integral as the product of two functions: x\frac{1}{\sqrt{2}x-1}. We can solve the integral \int x\frac{1}{\sqrt{2}x-1}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du.