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

## Step-by-step Solution

Go!
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e
π
ln
log
log
lim
d/dx
Dx
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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

### Videos

$x+\ln\left(x\right)+C_0$
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## Step-by-step Solution

Problem to solve:

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

Specify the solving method

1

The integral $\int1dx$ results in: $x$

$x$

Learn how to solve integral calculus problems step by step online.

$x$

Learn how to solve integral calculus problems step by step online. Find the integral int((x^2^1/2+1)/x)dx. The integral \int1dx results in: x. The integral \int\frac{1}{x}dx results in: \ln\left(x\right). Gather the results of all integrals. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

$x+\ln\left(x\right)+C_0$
SnapXam A2

### beta Got another answer? Verify it!

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

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

### Main topic:

Integral Calculus

~ 0.05 s