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# Integrate the function $\frac{1}{2x}$ from $e$ to $4$

## Step-by-step Solution

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###  Videos

$\frac{62}{321}$
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##  Step-by-step Solution 

Problem to solve:

$\int_{e}^{4}\frac{1}{2x}dx$

Specify the solving method

1

Take the constant $\frac{1}{2}$ out of the integral

$\frac{1}{2}\int_{e}^{4}\frac{1}{x}dx$

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

$\frac{1}{2}\int_{e}^{4}\frac{1}{x}dx$

Learn how to solve definite integrals problems step by step online. Integrate the function 1/(2x) from e to 4. Take the constant \frac{1}{2} out of the integral. 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.

$\frac{62}{321}$

##  Explore different ways to solve this problem

SnapXam A2

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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

~ 0.09 s

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