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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 definite integrals 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. Rewrite the fraction \frac{x}{4x+5} inside the integral as the product of two functions: x\frac{1}{4x+5}. We can solve the integral \int x\frac{1}{4x+5}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.