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Rewrite the fraction $\frac{x}{\sqrt{2x-1}}$ inside the integral as the product of two functions: $x\frac{1}{\sqrt{2x-1}}$
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$\int_{1}^{5} x\frac{1}{\sqrt{2x-1}}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x/((2x-1)^1/2) from 1 to 5. Rewrite the fraction \frac{x}{\sqrt{2x-1}} inside the integral as the product of two functions: x\frac{1}{\sqrt{2x-1}}. We can solve the integral \int x\frac{1}{\sqrt{2x-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. Now, identify dv and calculate v.