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Find the integral $\int3xe^xdx$

Step-by-step Solution

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asinh
acosh
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Final answer to the problem

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

How should I solve this problem?

  • Choose an option
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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1

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

$3\int xe^xdx$

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

$3\int xe^xdx$

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Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(3xe^x)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 xe^xdx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.

Final answer to the problem

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

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Function Plot

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

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Answer Assistant

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Got a different answer? Verify it!

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

How to improve your answer:

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.

Used Formulas

See formulas (4)

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