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Find the integral
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$\int\frac{x^2+1}{x\left(x-1\right)^3}dx$
Learn how to solve equations problems step by step online. Find the integral of (x^2+1)/(x(x-1)^3). Find the integral. Rewrite the fraction \frac{x^2+1}{x\left(x-1\right)^3} in 4 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by x\left(x-1\right)^3. Multiplying polynomials.