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

Step-by-step Solution

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Solution

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Final Answer

$0.754165\cdot \infty_4\ln\left(x\right)+C_0$
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Step-by-step Solution

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We could not solve this problem by using the method: Integrate by substitution

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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.

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

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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.

Final Answer

$0.754165\cdot \infty_4\ln\left(x\right)+C_0$

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 integral of (\infty_41/xln3^3)dx using basic integralsSolve integral of (\infty_41/xln3^3)dx using integration by partsSolve integral of (\infty_41/xln3^3)dx using tabular integration

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Plotting: $0.754165\cdot \infty_4\ln\left(x\right)+C_0$

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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
D□x
∫
∫◻
|◻|
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

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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.

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