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# Integrate the function $x+1$ from $1$ to $4$

## Step-by-step Solution

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###  Videos

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

Problem to solve:

$\int_{1}^{4}\left(x+1\right)dx$

Specify the solving method

1

Expand the integral $\int_{1}^{4}\left(x+1\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{1}^{4} xdx+\int_{1}^{4}1dx$

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

$\int_{1}^{4} xdx+\int_{1}^{4}1dx$

Learn how to solve definite integrals problems step by step online. Integrate the function x+1 from 1 to 4. Expand the integral \int_{1}^{4}\left(x+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{1}^{4} xdx results in: \frac{15}{2}. The integral \int_{1}^{4}1dx results in: 3. Gather the results of all integrals.

$\frac{21}{2}$

$10.5$

##  Explore different ways to solve this problem

SnapXam A2

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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

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