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# Solve the integral of logarithmic functions $\int\infty_4\frac{1}{\ln\left(3\right)^3x}dx$

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##  Final answer to the problem

$\frac{\infty_4\ln\left|x\right|}{\ln\left|3\right|^3}+C_0$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Integrate by partial fractions
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Integrate using trigonometric identities
• Integrate using basic integrals
• Product of Binomials with Common Term
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Multiplying the fraction by $\infty_4$

$\int\frac{\infty_4}{\ln\left(3\right)^3x}dx$

Learn how to solve integrals involving logarithmic functions problems step by step online.

$\int\frac{\infty_4}{\ln\left(3\right)^3x}dx$

Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the integral of logarithmic functions int(\infty_41/(xln(3)^3))dx. Multiplying the fraction by \infty_4. Take the constant \frac{1}{\ln\left|3\right|^3} 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). Multiply the fraction by the term .

##  Final answer to the problem

$\frac{\infty_4\ln\left|x\right|}{\ln\left|3\right|^3}+C_0$

##  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

SnapXam A2

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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: Integrals involving Logarithmic Functions

They are those integrals where the function that we are integrating is composed only of combinations of logarithmic functions.