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Expand the fraction $\frac{12+5x}{12x-3}$ into $2$ simpler fractions with common denominator $12x-3$
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$\int\left(\frac{12}{12x-3}+\frac{5x}{12x-3}\right)dx$
Learn how to solve definite integrals problems step by step online. Find the integral int((12+5x)/(12x-3))dx. Expand the fraction \frac{12+5x}{12x-3} into 2 simpler fractions with common denominator 12x-3. Simplify the expression inside the integral. The integral \int\frac{4}{4x-1}dx results in: \ln\left(4x-1\right). The integral 5\int\frac{x}{12x-3}dx results in: \frac{5}{144}\left(12x-3\right)+\frac{5}{48}\ln\left(12x-3\right).