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# Integrate the function $\sqrt{x}$ from 0 to $1$

## Step-by-step Solution

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acos
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sinh
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asinh
acosh
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### Videos

$\frac{2}{3}$
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## Step-by-step Solution

Problem to solve:

$\int_{0}^{1}\sqrt{x}dx$

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 $\frac{1}{2}$

$\left[\frac{2}{3}\sqrt{x^{3}}\right]_{0}^{1}$

Learn how to solve definite integrals problems step by step online.

$\left[\frac{2}{3}\sqrt{x^{3}}\right]_{0}^{1}$

Learn how to solve definite integrals problems step by step online. Integrate the function x^1/2 from 0 to 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}. Evaluate the definite integral. Simplifying.

$\frac{2}{3}$
SnapXam A2

### beta Got another answer? Verify it!

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

$\int_{0}^{1}\sqrt{x}dx$