Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Trigonometric integral int(x^2*ln(x)*1)dx

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
Dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Answer

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

Step-by-step explanation

Problem to solve:

$\int x^2\:\ln\:x\:dx$
1

Any expression multiplied by $1$ is equal to itself

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

Use the integration by parts theorem to calculate the integral $\int x^2\ln\left(x\right)dx$, using the following formula

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

Unlock this step-by-step solution!

Answer

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

Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!