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# Integrate the function $x+e^x$ from 0 to $2$

## Step-by-step Solution

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e
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ln
log
log
lim
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θ
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>
<
>=
<=
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

$8.389056$
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## Step-by-step Solution

Problem to solve:

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

Specify the solving method

1

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

$\int_{0}^{2} xdx+\int_{0}^{2} e^xdx$

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

$\int_{0}^{2} xdx+\int_{0}^{2} e^xdx$

Learn how to solve definite integrals problems step by step online. Integrate the function x+e^x from 0 to 2. Expand the integral \int_{0}^{2}\left(x+e^x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{2} xdx results in: 2. The integral \int_{0}^{2} e^xdx results in: 6.389056. Gather the results of all integrals.

$8.389056$
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

### Useful tips on how to improve your answer:

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

### Main topic:

Definite Integrals

~ 0.06 s