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Expand the fraction $\frac{x+2}{2x^2-x}$ into $2$ simpler fractions with common denominator $2x^2-x$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{x}{2x^2-x}+\frac{2}{2x^2-x}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x+2)/(2x^2-x))dx. Expand the fraction \frac{x+2}{2x^2-x} into 2 simpler fractions with common denominator 2x^2-x. Expand the integral \int\left(\frac{x}{2x^2-x}+\frac{2}{2x^2-x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Rewrite the expression \frac{x}{2x^2-x} inside the integral in factored form. The integral \int\frac{1}{2x-1}dx results in: \frac{1}{2}\ln\left(2x-1\right).