Final Answer
Step-by-step Solution
Specify the solving method
Expand the fraction $\frac{5x+1}{x+5}$ into $2$ simpler fractions with common denominator $x+5$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{4}\left(\frac{5x}{x+5}+\frac{1}{x+5}\right)dx$
Learn how to solve definite integrals 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. The integral 5\int_{0}^{4}\frac{x}{x+5}dx results in: 5.305333. The integral \int_{0}^{4}\frac{1}{x+5}dx results in: \ln\left(\frac{9}{5}\right).