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Expand the fraction $\frac{3x+6}{4x+5}$ into $2$ simpler fractions with common denominator $4x+5$
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$\int\left(\frac{3x}{4x+5}+\frac{6}{4x+5}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((3x+6)/(4x+5))dx. Expand the fraction \frac{3x+6}{4x+5} into 2 simpler fractions with common denominator 4x+5. Simplify the expression inside the integral. The integral 3\int\frac{x}{4x+5}dx results in: \frac{3}{16}\left(4x+5\right)-\frac{15}{16}\ln\left(4x+5\right). Gather the results of all integrals.