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