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

## Step-by-step Solution

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asinh
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###  Videos

$8.389056$
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##  Step-by-step Solution 

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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.

$8.389056$

##  Explore different ways to solve this problem

SnapXam A2

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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

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

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