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Expand the fraction $\frac{x+4}{2x+3}$ into $2$ simpler fractions with common denominator $2x+3$
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$\int\left(\frac{x}{2x+3}+\frac{4}{2x+3}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x+4)/(2x+3))dx. Expand the fraction \frac{x+4}{2x+3} into 2 simpler fractions with common denominator 2x+3. Expand the integral \int\left(\frac{x}{2x+3}+\frac{4}{2x+3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{2x+3}dx results in: \frac{1}{4}\left(2x+3\right)-\frac{3}{4}\ln\left(2x+3\right). Gather the results of all integrals.