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# Integrate the function $\sqrt{x}+5$ from 0 to $2$

## Step-by-step Solution

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###  Videos

$11.889882$
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##  Step-by-step Solution 

Problem to solve:

$\int_{0}^{2}\left(\sqrt{x}+5\right)dx$

Specify the solving method

1

Expand the integral $\int_{0}^{2}\left(\sqrt{x}+5\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{0}^{2}\sqrt{x}dx+\int_{0}^{2}5dx$

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

$\int_{0}^{2}\sqrt{x}dx+\int_{0}^{2}5dx$

Learn how to solve definite integrals problems step by step online. Integrate the function x^1/3+5 from 0 to 2. Expand the integral \int_{0}^{2}\left(\sqrt{x}+5\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{2}\sqrt{x}dx results in: \frac{3\sqrt{2}}{2}. The integral \int_{0}^{2}5dx results in: 10. Gather the results of all integrals.

$11.889882$

##  Explore different ways to solve this problem

SnapXam A2

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5
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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:

Definite Integrals

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