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

## Step-by-step Solution

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###  Videos

$\frac{x^{3}}{3}-4\sqrt{x}+C_0$
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##  Step-by-step Solution 

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Expand the fraction $\frac{x^3-2\sqrt{x}}{x}$ into $2$ simpler fractions with common denominator $x$

$\int\left(\frac{x^3}{x}+\frac{-2\sqrt{x}}{x}\right)dx$

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

$\int\left(\frac{x^3}{x}+\frac{-2\sqrt{x}}{x}\right)dx$

Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^3-2x^1/2)/x)dx. Expand the fraction \frac{x^3-2\sqrt{x}}{x} into 2 simpler fractions with common denominator x. Simplify the resulting fractions. Expand the integral \int\left(x^{2}-2x^{-\frac{1}{2}}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{2}dx results in: \frac{x^{3}}{3}.

$\frac{x^{3}}{3}-4\sqrt{x}+C_0$

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a
b
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m
n
u
v
w
x
y
z
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(◻)
+
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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

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