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Find the integral $\int xe^{54x}dx$

Used Formulas

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sinh
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Solution

Formulas

Videos

Integration Techniques

· Integration by Substitution
$\int f\left(x\right)dx=\int f\left(g\left(t\right)\right) g'\left(t\right)dt$
· Integration by Parts
$\int udv=uv - \int vdu$

Basic Integrals

$\int e^xdx=e^x+C$
· Constant factor Rule
$\int cxdx=c\int xdx$

Function Plot

Plotting: $\frac{1}{54}e^{54x}x-\frac{1}{2916}e^{54x}+C_0$

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5
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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
D□x
∫
∫◻
|◻|
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:

Similar Problems Solved

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

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

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$\int x^2e^{2x+1}dx$

Find the integral

$\int x^2e^xdx$

Find the integral

$\int16xe^{4x}dx$

Find the integral

$\int xe^{3x}dx$

Find the integral

$\int xe^{2x}dx$

Main Topic: Integration by Parts

Integration by parts is an integration method that relates the integral of a product of two or more functions to the integral of their derivative and antiderivative.

Used Formulas

See formulas (4)

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