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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

$-\frac{2}{5}x^{-\frac{5}{2}}+C_0$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Integrate by trigonometric substitution
• Integrate by partial fractions
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• 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.
1

Simplify the expression inside the integral

$\int\frac{1}{\sqrt{x^{7}}}dx$

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

$\int\frac{1}{\sqrt{x^{7}}}dx$

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. Simplify the expression inside the integral. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -\frac{7}{2}. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

##  Final answer to the problem

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

##  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).