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# Find the integral $\int\left(2x+3\sqrt{x}\right)dx$

## Step-by-step Solution

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### Videos

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

Problem to solve:

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

Specify the solving method

1

Expand the integral $\int\left(2x+3\sqrt{x}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int2xdx+\int3\sqrt{x}dx$

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

$\int2xdx+\int3\sqrt{x}dx$

Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(2x+3x^1/2)dx. Expand the integral \int\left(2x+3\sqrt{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2xdx results in: x^2. The integral \int3\sqrt{x}dx results in: 2\sqrt{x^{3}}. Gather the results of all integrals.

$x^2+2\sqrt{x^{3}}+C_0$
SnapXam A2

Go!
1
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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:

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

### Main topic:

Integrals of polynomial functions

~ 0.07 s