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# Integrate $\int\sqrt{x}dx$

## Step-by-step Solution

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sinh
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asinh
acosh
atanh
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$\frac{2}{3}\sqrt{x^{3}}+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\sqrt{x}dx$

Specify the solving method

1

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 $\frac{1}{2}$

$\frac{1}{\frac{3}{2}}\sqrt{x^{3}}$

Learn how to solve integrals with radicals problems step by step online.

$\frac{1}{\frac{3}{2}}\sqrt{x^{3}}$

Learn how to solve integrals with radicals problems step by step online. Integrate int(x^1/2)dx. 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{1}{2}. Divide 1 by \frac{3}{2}. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

$\frac{2}{3}\sqrt{x^{3}}+C_0$

##  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

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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

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