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# Integrate the function $x+2$ from 0 to $3$

## Step-by-step Solution

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###  Videos

$\frac{21}{2}$
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##  Step-by-step Solution 

Problem to solve:

$\int_{0}^{3}\left(x+2\right)dx$

Specify the solving method

1

Expand the integral $\int_{0}^{3}\left(x+2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{0}^{3} xdx+\int_{0}^{3}2dx$

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

$\int_{0}^{3} xdx+\int_{0}^{3}2dx$

Learn how to solve definite integrals problems step by step online. Integrate the function x+2 from 0 to 3. Expand the integral \int_{0}^{3}\left(x+2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{3} xdx results in: \frac{9}{2}. The integral \int_{0}^{3}2dx results in: 6. Gather the results of all integrals.

$\frac{21}{2}$

$10.5$

##  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(x+2)dx&0&3 using partial fractionsSolve int(x+2)dx&0&3 using basic integralsSolve int(x+2)dx&0&3 using u-substitutionSolve int(x+2)dx&0&3 using integration by partsSolve int(x+2)dx&0&3 using trigonometric substitution

SnapXam A2

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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:

Definite Integrals

~ 0.04 s

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