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Expand the fraction $\frac{x-1}{x+1}$ into $2$ simpler fractions with common denominator $x+1$
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$\int_{0}^{1}\left(\frac{x}{x+1}+\frac{-1}{x+1}\right)dx$
Learn how to solve problems step by step online. Integrate the function (x-1)/(x+1) from 0 to 1. Expand the fraction \frac{x-1}{x+1} into 2 simpler fractions with common denominator x+1. Expand the integral \int_{0}^{1}\left(\frac{x}{x+1}+\frac{-1}{x+1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{1}\frac{x}{x+1}dx results in: \frac{85}{277}. The integral \int_{0}^{1}\frac{-1}{x+1}dx results in: -\ln\left(2\right).