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

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## Final Answer

$\frac{2}{3}\sqrt{x^{3}}+\frac{2}{5}\sqrt{x^{5}}+C_0$
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## Step-by-step Solution

Problem to solve:

$\int\frac{x+x^2}{\sqrt{x}}dx$

Specify the solving method

1

The integral $\int\sqrt{x}dx$ results in: $\frac{2}{3}\sqrt{x^{3}}$

$\frac{2}{3}\sqrt{x^{3}}$

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

$\frac{2}{3}\sqrt{x^{3}}$

Learn how to solve integrals of exponential functions problems step by step online. Find the integral int((x+x^2)/(x^1/2))dx. The integral \int\sqrt{x}dx results in: \frac{2}{3}\sqrt{x^{3}}. The integral \int\sqrt{x^{3}}dx results in: \frac{2}{5}\sqrt{x^{5}}. Gather the results of all integrals. 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

$\frac{2}{3}\sqrt{x^{3}}+\frac{2}{5}\sqrt{x^{5}}+C_0$
SnapXam A2
Answer Assistant

Go!
1
2
3
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

### Useful tips on how to improve your answer:

$\int\frac{x+x^2}{\sqrt{x}}dx$

### Main topic:

Integrals of Exponential Functions

~ 0.06 s