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Expand the fraction $\frac{12+5x}{12x-3}$ into $2$ simpler fractions with common denominator $12x-3$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{12}{12x-3}+\frac{5x}{12x-3}\right)dx$
Learn how to solve integrals of rational functions 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. Rewrite the fraction \frac{x}{12x-3} inside the integral as the product of two functions: x\frac{1}{12x-3}. We can solve the integral \int x\frac{1}{12x-3}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.