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- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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$\int\frac{2x-1}{4x^2-1}dx$
Learn how to solve 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. The integral 2\int\frac{x}{4x^2-1}dx results in: \frac{1}{4}\ln\left(x^2-\frac{1}{4}\right).