Try now NerdPal! Our new app on iOS and Android

# Find the integral $\int\frac{2}{4\sqrt{2x}}dx$

## Step-by-step Solution

Go!
Math mode
Text mode
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

###  Videos

$\frac{\sqrt{2}}{2}\sqrt{x}+C_0$
Got another answer? Verify it here!

##  Step-by-step Solution 

Problem to solve:

$\int\frac{2}{4\sqrt{2x}}dx$

Specify the solving method

1

The power of a product is equal to the product of it's factors raised to the same power

$\int\frac{2}{4\sqrt{2}\sqrt{x}}dx$

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

$\int\frac{2}{4\sqrt{2}\sqrt{x}}dx$

Learn how to solve integrals of rational functions problems step by step online. Find the integral int(2/(4(2x)^1/2))dx. The power of a product is equal to the product of it's factors raised to the same power. Take the constant \frac{1}{4\sqrt{2}} out of the integral. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. The integral of a function times a constant (2) is equal to the constant times the integral of the function.

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

##  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

Solve int(2/(4(2x)^1/2))dx using partial fractionsSolve int(2/(4(2x)^1/2))dx using basic integralsSolve int(2/(4(2x)^1/2))dx using u-substitutionSolve int(2/(4(2x)^1/2))dx using integration by partsSolve int(2/(4(2x)^1/2))dx using trigonometric substitution

SnapXam A2

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

### Main topic:

Integrals of Rational Functions

~ 0.04 s

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account