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Expand the fraction $\frac{x-1}{x+1}$ into $2$ simpler fractions with common denominator $x+1$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{1}\left(\frac{x}{x+1}+\frac{-1}{x+1}\right)dx$
Learn how to solve definite integrals 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. Rewrite the fraction \frac{x}{x+1} inside the integral as the product of two functions: x\frac{1}{x+1}. We can solve the integral \int x\frac{1}{x+1}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.