Solve the integral of logarithmic functions $\int x\ln\left(4x\right)dx$

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Algebra 2 - Converting an equation to exponential form and then solving log3 (4x-17) = 5

https://www.youtube.com/watch?v=JJCuM8NcWH8

Algebra 2 - Solving for a variable by converting to exponential form log4 (4x-20) = 5

https://www.youtube.com/watch?v=HNPmnB-KG88

Worked example: problem involving definite integral (algebraic) | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=vYix-RPhT64

Using one to one property to solve logarithmic equation

https://www.youtube.com/watch?v=9aCtoIRZWBU

Finding the domain vertical asymptote and x intercepts of a logarithm

https://www.youtube.com/watch?v=k36n5uACiac

How to find the solutions when solving a logarithmic equation

https://www.youtube.com/watch?v=JrivLbx0o50

Function Plot

Plotting: $\frac{1}{2}x^2\ln\left(4x\right)-\frac{1}{4}x^2+C_0$

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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
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

How to improve your answer:

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.

Used Formulas

See formulas (2)

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