# Integral of (8x+4)/(4x^2+4x)

## Answer

$\ln\left|x\left(4+4x\right)\right|+C_0$

## Step-by-step explanation

Problem

$\int\frac{8x+4}{4x^2+4x}dx$

1

Solve the integral $\int\frac{4+8x}{4x+4x^2}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=4x+4x^2 \\ du=\left(8x+4\right)dx\end{matrix}$

## Answer

$\ln\left|x\left(4+4x\right)\right|+C_0$