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Expand the fraction $\frac{2x-4}{x^2+6x}$ into $2$ simpler fractions with common denominator $x^2+6x$
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$\int\left(\frac{2x}{x^2+6x}+\frac{-4}{x^2+6x}\right)dx$
Learn how to solve problems step by step online. Find the integral int((2x-4)/(x^2+6x))dx. Expand the fraction \frac{2x-4}{x^2+6x} into 2 simpler fractions with common denominator x^2+6x. Simplify the expression inside the integral. Rewrite the expression \frac{x}{x^2+6x} inside the integral in factored form. We can solve the integral \int\frac{1}{x+6}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 x+6 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.