# Step-by-step Solution

## Integral of $\frac{e\left(9x\right)^{\left(\frac{1}{3}\right)}}{x^{\left(\frac{2}{3}\right)}}$ with respect to x

Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
÷
2

e
π
ln
log
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

### Videos

$8.4814\sqrt[3]{x^{2}}+C_0$

## Step-by-step explanation

Problem to solve:

$\int\frac{e\sqrt[3]{9x}}{x^{\frac{2}{3}}}dx$
1

The power of a product is equal to the product of it's factors raised to the same power

$\int\frac{\sqrt{31}\sqrt[3]{x}}{\sqrt[3]{x^{2}}}dx$
2

Simplifying the fraction by $x$

$\int\frac{\sqrt{31}}{\sqrt[3]{x}}dx$

$8.4814\sqrt[3]{x^{2}}+C_0$
$\int\frac{e\sqrt[3]{9x}}{x^{\frac{2}{3}}}dx$

### Main topic:

Integrals of Rational Functions

~ 0.04 seconds