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# Find the integral $\int\frac{2x^{- \frac{1}{3}}}{\sqrt[3]{2}}dx$

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##  Final answer to the problem

$\frac{3\sqrt[3]{x^{2}}}{\sqrt[3]{2}}+C_0$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Integrate by partial fractions
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Integrate using trigonometric identities
• Integrate using basic integrals
• Product of Binomials with Common Term
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1

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

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

Learn how to solve integrals of rational functions problems step by step online.

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

Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2x^(-1/3))/(2^(1/3)))dx. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Take the constant \frac{1}{\sqrt[3]{2}} out of the integral. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Multiply the fraction and term in - \frac{1}{3}.

##  Final answer to the problem

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

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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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

###  Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).