# Step-by-step Solution

## Solve the integral of logarithmic functions $\int x^2\ln\left(x\right)dx$

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asinh
acosh
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### Solution

$\frac{x^{3}\ln\left(x\right)}{3}-\frac{1}{9}x^{3}+C_0$

## Step-by-step Solution

Problem to solve:

$\int x^2\ln\left(x\right)dx$

Choose the solving method

1

We can solve the integral $\int x^2\ln\left(x\right)dx$ by applying integration by parts method to calculate the integral of the product of two functions, using the following formula

$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$

Learn how to solve problems step by step online.

$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$

Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(x^2ln(x))dx. We can solve the integral \int x^2\ln\left(x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v. Solve the integral.

$\frac{x^{3}\ln\left(x\right)}{3}-\frac{1}{9}x^{3}+C_0$
SnapXam A2

Go!
1
2
3
4
5
6
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
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