Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Integral of $\frac{1}{3}e^{3x}$

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
÷
2

e
π
ln
log
log
lim
d/dx
Dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Answer

$\frac{1}{9}e^{3x}+C_0$

Step-by-step explanation

Problem to solve:

$\int\frac{1}{3} e^{3x}dx$
1

Take the constant out of the integral

$\frac{1}{3}\int e^{3x}dx$
2

Solve the integral $\int e^{3x}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=3x \\ du=3dx\end{matrix}$

Unlock this step-by-step solution!

Answer

$\frac{1}{9}e^{3x}+C_0$
$\int\frac{1}{3} e^{3x}dx$

Main topic:

Integration by substitution

Used formulas:

4. See formulas

Time to solve it:

~ 1.37 seconds

Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!