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$\int\frac{2x^2-5x-2}{x^3-5x^2+8x-4}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (2x^2-5x+-2)/(x^3-5x^28x+-4). Find the integral. Rewrite the expression \frac{2x^2-5x-2}{x^3-5x^2+8x-4} inside the integral in factored form. Rewrite the fraction \frac{2x^2-5x-2}{\left(x-1\right)\left(x-2\right)^2} 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 \left(x-1\right)\left(x-2\right)^2.