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