Try now NerdPal! Our new app on iOS and Android

# Integrate the function $\frac{1}{x}$ from $2$ to $3$

## Step-by-step Solution

Go!
Math mode
Text mode
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

###  Videos

$\ln\left(\frac{3}{2}\right)$
Got another answer? Verify it here!

##  Step-by-step Solution 

Problem to solve:

$\int_{2}^{3}\frac{1}{x}dx$

Specify the solving method

1

The integral of the inverse of the lineal function is given by the following formula, $\displaystyle\int\frac{1}{x}dx=\ln(x)$

$\left[\ln\left(x\right)\right]_{2}^{3}$

Learn how to solve definite integrals problems step by step online.

$\left[\ln\left(x\right)\right]_{2}^{3}$

Learn how to solve definite integrals problems step by step online. Integrate the function 1/x from 2 to 3. The integral of the inverse of the lineal function is given by the following formula, \displaystyle\int\frac{1}{x}dx=\ln(x). Evaluate the definite integral. Simplify the expression inside the integral.

$\ln\left(\frac{3}{2}\right)$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve int(1/x)dx&2&3 using partial fractionsSolve int(1/x)dx&2&3 using basic integralsSolve int(1/x)dx&2&3 using u-substitutionSolve int(1/x)dx&2&3 using integration by partsSolve int(1/x)dx&2&3 using trigonometric substitution

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

### Main topic:

Definite Integrals

~ 0.02 s

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account