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# Find the integral $\int\frac{1+x^2}{x}dx$

## Step-by-step Solution

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e
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ln
log
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lim
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sin
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tan
cot
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asin
acos
atan
acot
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
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### Videos

$\ln\left(x\right)+\frac{1}{2}x^2+C_0$
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## Step-by-step Solution

Problem to solve:

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

Specify the solving method

1

Expand the fraction $\frac{1+x^2}{x}$ into $2$ simpler fractions with common denominator $x$

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

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

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

Learn how to solve integrals of rational functions problems step by step online. Find the integral int((1+x^2)/x)dx. Expand the fraction \frac{1+x^2}{x} into 2 simpler fractions with common denominator x. Simplify. Expand the integral \int\left(\frac{1}{x}+x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x}dx results in: \ln\left(x\right).

$\ln\left(x\right)+\frac{1}{2}x^2+C_0$
SnapXam A2

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

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

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Useful tips on how to improve your answer:

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

### Main topic:

Integrals of Rational Functions

~ 0.06 s