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$\int\frac{x+1}{x-1}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x+1)/(x-1). Find the integral. Expand the fraction \frac{x+1}{x-1} into 2 simpler fractions with common denominator x-1. Expand the integral \int\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\frac{x}{x-1}dx results in: x-1+\ln\left(x-1\right).