# Step-by-step Solution

## Integral of $\frac{x+1}{x^2}$ 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

### Videos

$\ln\left|x\right|-x^{-1}+C_0$

## Step-by-step explanation

Problem to solve:

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

Split the fraction $\frac{x+1}{x^2}$ in two terms with common denominator ($x^2$)

$\int\left(\frac{x}{x^2}+\frac{1}{x^2}\right)dx$
2

Simplifying the fraction by $x$

$\int\left(\frac{1}{x}+\frac{1}{x^2}\right)dx$

$\ln\left|x\right|-x^{-1}+C_0$
$\int\frac{x+1}{x^2}dx$

### Main topic:

Integrals of Rational Functions

12. See formulas

~ 0.78 seconds