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Expand the fraction $\frac{2x-1}{4x^2-1}$ into $2$ simpler fractions with common denominator $4x^2-1$
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$\int\left(\frac{2x}{4x^2-1}+\frac{-1}{4x^2-1}\right)dx$
Learn how to solve logarithmic differentiation problems step by step online. Find the integral int((2x-1)/(4x^2-1))dx. 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. The integral 2\int\frac{x}{4x^2-1}dx results in: \frac{1}{4}\ln\left(2x+1\right)+\frac{1}{4}\ln\left(2x-1\right). Gather the results of all integrals.