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$\int\frac{2x-1}{4x^2-1}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (2x-1)/(4x^2-1). Find the integral. Expand the fraction \frac{2x-1}{4x^2-1} into 2 simpler fractions with common denominator 4x^2-1. Simplify the expression inside the integral. We can solve the integral \int\frac{x}{4x^2-1}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that 4x^2-1 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.