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# Find the integral $\int\left(1+x+e^{\left(x-2\right)}\right)dx$

## Step-by-step Solution

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###  Videos

$x+\frac{1}{2}x^2+e^{\left(x-2\right)}+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\left(1+x+e^{\left(x-2\right)}\right)dx$

Specify the solving method

1

Expand the integral $\int\left(1+x+e^{\left(x-2\right)}\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately

$\int1dx+\int xdx+\int e^{\left(x-2\right)}dx$

Learn how to solve integrals of exponential functions problems step by step online.

$\int1dx+\int xdx+\int e^{\left(x-2\right)}dx$

Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(1+xe^(x-2))dx. Expand the integral \int\left(1+x+e^{\left(x-2\right)}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x. The integral \int xdx results in: \frac{1}{2}x^2. The integral \int e^{\left(x-2\right)}dx results in: e^{\left(x-2\right)}.

$x+\frac{1}{2}x^2+e^{\left(x-2\right)}+C_0$

##  Explore different ways to solve this problem

SnapXam A2

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a
b
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d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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:

Integrals of Exponential Functions

~ 0.05 s

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