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# Integrate $\int\left(\sqrt{x}+3\sqrt{x}-4\sqrt{x}\right)dx$

## Step-by-step Solution

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##  Step-by-step Solution 

Problem to solve:

$\int\left(\sqrt{x}+3\sqrt{x}-4\sqrt{x}\right)dx$

Specify the solving method

1

Simplify the expression inside the integral

$\int4\sqrt{x}dx+\int-4\sqrt{x}dx$

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

$\int4\sqrt{x}dx+\int-4\sqrt{x}dx$

Learn how to solve integrals with radicals problems step by step online. Integrate int(x^1/2+3x^1/2-4x^1/2)dx. Simplify the expression inside the integral. The integral \int4\sqrt{x}dx results in: \frac{8}{3}\sqrt{x^{3}}. The integral \int-4\sqrt{x}dx results in: -\frac{8}{3}\sqrt{x^{3}}. Gather the results of all integrals.

$C_0$

##  Explore different ways to solve this problem

SnapXam A2

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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

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