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# Find the integral $\int\frac{7\sqrt{x^{2}}}{\sqrt{x^3\sqrt{x}}}dx$

## Step-by-step Solution

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###  Videos

$-84x^{-\frac{1}{12}}+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\frac{7\sqrt{x^{2}}}{\sqrt{x^3\sqrt{x}}}dx$

Specify the solving method

1

Simplify the expression inside the integral

$7\int\frac{1}{\sqrt{x^{13}}}dx$

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

$7\int\frac{1}{\sqrt{x^{13}}}dx$

Learn how to solve integrals of rational functions problems step by step online. Find the integral int((7x^2/3)/((x^3x^1/2)^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{13}{12}. Simplify the expression inside the integral.

$-84x^{-\frac{1}{12}}+C_0$

##  Explore different ways to solve this problem

SnapXam A2

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a
b
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f
g
m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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

~ 0.04 s

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