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

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Tutorial - Solving logarithmic equations ex 14, log(7x+1)=log(x-2)-1

https://www.youtube.com/watch?v=v7Zsmb17CUc

Tutorial - Learn how evaluate the an absolute value function, f(x) = |3x - 1| + 2

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

Definite integral of rational function | AP Calculus AB | Khan Academy

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Integral definitivo envolvendo registro natural | Matematica | Khan Academy

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Tutorial-How to solve a logarithmic equation with an extraneous solution ex20, 4 log3(2) -2log3(x)=1

https://www.youtube.com/watch?v=NJg15fq48vU

Tutorial - Expanding logarithmic expressions ex 15, ln (cuberoot(x^(2/3)) / (y^4 z^1/2))

https://www.youtube.com/watch?v=FuTxSQEwZD4

Function Plot

Plotting: $\frac{2\sqrt{x^{3}}\ln\left(x\right)}{3}+\frac{-4\sqrt{x^{3}}}{9}+C_0$

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m
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u
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x
y
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.
(◻)
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◻/◻
/
÷
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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