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- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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Expand the fraction $\frac{2x-1}{4x^2-1}$ into $2$ simpler fractions with common denominator $4x^2-1$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{2x}{4x^2-1}+\frac{-1}{4x^2-1}\right)dx$
Learn how to solve integrals of rational functions 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|x^2-\frac{1}{4}\right|. The integral \int\frac{-1}{4x^2-1}dx results in: \frac{1}{4}\ln\left|2x+1\right|-\frac{1}{4}\ln\left|2x-1\right|.