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Find the integral $\int e^2x\cdot xdx$

Step-by-step Solution

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e
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ln
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sin
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asin
acos
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asec
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sinh
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tanh
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csch

asinh
acosh
atanh
acoth
asech
acsch

Final answer to the problem

$\frac{e^2x^{3}}{3}+C_0$
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Step-by-step Solution

How should I solve this problem?

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  • 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

When multiplying two powers that have the same base ($x$), you can add the exponents

$\int e^2x^2dx$

Learn how to solve exponential equations problems step by step online.

$\int e^2x^2dx$

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Learn how to solve exponential equations problems step by step online. Find the integral int(xe^2x)dx. When multiplying two powers that have the same base (x), you can add the exponents. The integral of a function times a constant (e^2) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 2. Multiplying the fraction by e^2.

Final answer to the problem

$\frac{e^2x^{3}}{3}+C_0$

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Function Plot

Plotting: $\frac{e^2x^{3}}{3}+C_0$

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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: Exponential Equations

Exponential equations are those where the unknown appears only in the exponents of powers of constant bases.

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