Final Answer
Step-by-step Solution
Specify the solving method
Expand the fraction $\frac{x+1}{x+6}$ into $2$ simpler fractions with common denominator $x+6$
Learn how to solve quadratic equations problems step by step online.
$\int_{-2}^{4}\left(\frac{x}{x+6}+\frac{1}{x+6}\right)dx$
Learn how to solve quadratic equations problems step by step online. Integrate the function (x+1)/(x+6) from -2 to 4. Expand the fraction \frac{x+1}{x+6} into 2 simpler fractions with common denominator x+6. Expand the integral \int_{-2}^{4}\left(\frac{x}{x+6}+\frac{1}{x+6}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-2}^{4}\frac{x}{x+6}dx results in: 0.502256. The integral \int_{-2}^{4}\frac{1}{x+6}dx results in: \ln\left(\frac{5}{2}\right).