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