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Learn how to solve integrals of rational functions problems step by step online.
$2\int\frac{x}{\left(x-1\right)^2}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2x^2)/(x(x-1)^2))dx. Simplify the expression inside the integral. Rewrite the fraction \frac{x}{\left(x-1\right)^2} inside the integral as the product of two functions: x\frac{1}{\left(x-1\right)^2}. We can solve the integral \int x\frac{1}{\left(x-1\right)^2}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du.