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Find the integral $\int7e^{8x}xdx$

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$\frac{7}{8}e^{8x}x-\frac{7}{64}e^{8x}+C_0$
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 Step-by-step Solution 

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The integral of a function times a constant ($7$) is equal to the constant times the integral of the function

$7\int e^{8x}xdx$

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

$7\int e^{8x}xdx$

Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(7e^(8x)x)dx. The integral of a function times a constant (7) is equal to the constant times the integral of the function. We can solve the integral \int e^{8x}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.

$\frac{7}{8}e^{8x}x-\frac{7}{64}e^{8x}+C_0$

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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

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.

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