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$\int\frac{x-1}{x^3-2x^2-5x+6}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x-1)/(x^3-2x^2-5x+6). Find the integral. Rewrite the expression \frac{x-1}{x^3-2x^2-5x+6} inside the integral in factored form. Rewrite the fraction \frac{1}{\left(x-3\right)\left(x+2\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by \left(x-3\right)\left(x+2\right).