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# Find the integral $\int\frac{1}{x^4\sqrt{x^{\left(2-3\right)}}}dx$

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##  Final answer to the problem

$\frac{-2}{5\sqrt{x^{5}}}+C_0$
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##  Step-by-step Solution 

How should I solve this problem?

• Integrate by parts
• Integrate by partial fractions
• Integrate by substitution
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Integrate using trigonometric identities
• Integrate using basic integrals
• Product of Binomials with Common Term
• FOIL Method
Can't find a method? Tell us so we can add it.
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Rewrite the fraction $\frac{1}{x^4\sqrt{x^{\left(2-3\right)}}}$ inside the integral as the product of two functions: $1\left(\frac{1}{x^4\sqrt{x^{\left(2-3\right)}}}\right)$

$\int1\left(\frac{1}{x^4\sqrt{x^{\left(2-3\right)}}}\right)dx$

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

$\int1\left(\frac{1}{x^4\sqrt{x^{\left(2-3\right)}}}\right)dx$

Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(x^4x^(2-3)^1/2))dx. Rewrite the fraction \frac{1}{x^4\sqrt{x^{\left(2-3\right)}}} inside the integral as the product of two functions: 1\left(\frac{1}{x^4\sqrt{x^{\left(2-3\right)}}}\right). We can solve the integral \int1\left(\frac{1}{x^4\sqrt{x^{\left(2-3\right)}}}\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.

##  Final answer to the problem

$\frac{-2}{5\sqrt{x^{5}}}+C_0$

##  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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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).