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Expand the fraction $\frac{5x+1}{x+5}$ into $2$ simpler fractions with common denominator $x+5$
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$\int_{0}^{4}\left(\frac{5x}{x+5}+\frac{1}{x+5}\right)dx$
Learn how to solve problems step by step online. Integrate the function (5x+1)/(x+5) from 0 to 4. Expand the fraction \frac{5x+1}{x+5} into 2 simpler fractions with common denominator x+5. Simplify the expression inside the integral. Rewrite the fraction \frac{x}{x+5} inside the integral as the product of two functions: x\frac{1}{x+5}. We can solve the integral \int x\frac{1}{x+5}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.