Integrate the function $\frac{y+4}{y-4}$ from $- \infty $ to $1$

Learn how to solve integrals of exponential functions problems step by step online.

$\int\left(\frac{y}{y-4}+\frac{4}{y-4}\right)dy$

Learn how to solve integrals of exponential functions problems step by step online. Integrate the function (y+4)/(y-4) from -infinity to 1. Expand the fraction \frac{y+4}{y-4} into 2 simpler fractions with common denominator y-4. Expand the integral \int\left(\frac{y}{y-4}+\frac{4}{y-4}\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{y}{y-4}dy results in: y-4+4\ln\left(y-4\right). Gather the results of all integrals.