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

## Step-by-step Solution

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e
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ln
log
log
lim
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θ
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>=
<=
sin
cos
tan
cot
sec
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asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Videos

$2$
Got another answer? Verify it here!

## Step-by-step Solution

Problem to solve:

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

Specify the solving method

1

Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$

$\int_{0}^{1} x^{-\frac{1}{2}}dx$

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

$\int_{0}^{1} x^{-\frac{1}{2}}dx$

Learn how to solve definite integrals problems step by step online. Integrate the function 1/(x^1/2) from 0 to 1. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. 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.

$2$
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

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