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Algebra Baldor
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Solve the integral of logarithmic functions $\int12x\ln\left(x\right)dx$

Used Formulas

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◻2
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√◻
√

◻√◻
◻√
∞
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

Solution

Formulas

Videos

Basic Integrals

· Constant factor Rule
$\int cxdx=c\int xdx$
· Power Rule of Integration
$\int xdx=\frac{1}{2}x^2+C$

Integration Techniques

· Integration by Parts
$\int udv=uv - \int vdu$

Function Plot

Plotting: $6x^2\ln\left(x\right)-3x^2+C_0$

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5
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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
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

How to improve your answer:

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$\int\left(x^3\right)\log x^2dx$

Find the integral

$\int x^3\log\left(x\right)dx$

Find the integral

$\int x^{2}\ln xdx$

Find the integral

$\int x^3ln\left(x^3\right)dx$

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 (3)

Related Topics

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