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

## Step-by-step Solution

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###  Videos

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

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

$\int2dx+\int e^{2x}dx$

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

$\int2dx+\int e^{2x}dx$

Learn how to solve integrals of rational functions problems step by step online. Find the integral int(2+e^(2x))dx. Expand the integral \int\left(2+e^{2x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2dx results in: 2x. The integral \int e^{2x}dx results in: \frac{1}{2}e^{2x}. Gather the results of all integrals.

$2x+\frac{1}{2}e^{2x}+C_0$

##  Explore different ways to solve this problem

SnapXam A2

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a
b
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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 Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).