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

## Step-by-step Solution

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###  Videos

$\ln\left(\frac{3}{2}\right)$
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##  Step-by-step Solution 

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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.

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

$0.405465$

##  Explore different ways to solve this problem

SnapXam A2

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0
a
b
c
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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

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b