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$\int\frac{-2x+2}{\sqrt{x-1}}dx$
Learn how to solve problems step by step online. Integrate the function (-2x+2)/((x-1)^1/2). Find the integral. Expand the fraction \frac{-2x+2}{\sqrt{x-1}} into 2 simpler fractions with common denominator \sqrt{x-1}. Simplify the expression inside the integral. We can solve the integral \int\frac{x}{\sqrt{x-1}}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x-1 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.