Final Answer
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Multiplying the fraction by $x-2$
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$\int\frac{x-2}{x+1}dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(1/(x+1)(x-2))dx. Multiplying the fraction by x-2. Expand the fraction \frac{x-2}{x+1} into 2 simpler fractions with common denominator x+1. Expand the integral \int\left(\frac{x}{x+1}+\frac{-2}{x+1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{x+1}dx results in: x+1-\ln\left(x+1\right).