Final Answer
Step-by-step Solution
Specify the solving method
Expand the fraction $\frac{x+1}{x-1}$ into $2$ simpler fractions with common denominator $x-1$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{x}{x-1}+\frac{1}{x-1}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x+1)/(x-1))dx. 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). Gather the results of all integrals.