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# Find the integral $\int3e^x\cdot xdx$

## Step-by-step Solution

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###  Videos

$3e^x\cdot x-3e^x+C_0$
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##  Step-by-step Solution 

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The integral of a function times a constant ($3$) is equal to the constant times the integral of the function

$3\int e^x\cdot xdx$

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

$3\int e^x\cdot xdx$

Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(3e^xx)dx. The integral of a function times a constant (3) is equal to the constant times the integral of the function. We can solve the integral \int e^x\cdot xdx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.

$3e^x\cdot x-3e^x+C_0$

##  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: Integrals of Exponential Functions

Those are integrals that involve exponential functions. Recall that an exponential function is a function of the form f(x)=a^x.