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$\int\frac{-2x+2}{\sqrt{x-1}}dx$
Learn how to solve problems step by step online. Find the integral of (-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. The integral -2\int\frac{x}{\sqrt{x-1}}dx results in: -\frac{4}{3}\sqrt{\left(x-1\right)^{3}}-4\sqrt{x-1}.