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

## Step-by-step Solution

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###  Videos

$\frac{8}{\ln^{3}\left(9\right)}\cdot \infty_4\ln\left(x\right)+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\infty_4\frac{1}{\ln\left(3\right)^3x}dx$

Specify the solving method

1

Simplify the expression inside the integral

$\int\frac{\infty_4}{1.325969x}dx$

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

$\int\frac{\infty_4}{1.325969x}dx$

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. Simplify the expression inside the integral. Take the constant \frac{1}{1.325969} 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). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

$\frac{8}{\ln^{3}\left(9\right)}\cdot \infty_4\ln\left(x\right)+C_0$

##  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

Solve int(\infty_41/(xln(3)^3))dx using basic integralsSolve int(\infty_41/(xln(3)^3))dx using u-substitutionSolve int(\infty_41/(xln(3)^3))dx using integration by partsSolve int(\infty_41/(xln(3)^3))dx using tabular integration

SnapXam A2

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7
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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

~ 0.02 s

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