Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Integral of $\frac{8x+4}{4x^2+4x}$ with respect to x

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
÷
2

e
π
ln
log
log
lim
d/dx
Dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Answer

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

Step-by-step explanation

Problem to solve:

$\int\frac{8x+4}{4x^2+4x}dx$
1

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

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

Isolate $dx$ in the previous equation

$\frac{du}{\left(8x+4\right)}=dx$

Unlock this step-by-step solution!

Answer

$\ln\left|x\left(4x+4\right)\right|+C_0$
$\int\frac{8x+4}{4x^2+4x}dx$

Main topic:

Integrals of Rational Functions

Used formulas:

4. See formulas

Time to solve it:

~ 0.82 seconds

Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!