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Find the integral $\int\left(8x^3+6x^2+2x-5\right)e^{4x}dx$

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Solution

Formulas

Videos

Algebra 2 - How to write a polynomial in standard form when divided by a number, (2x^4 + 4x - 5) / 4

https://www.youtube.com/watch?v=nSzTK9_lYZw

Pre-Calculus - Graphing rational functions using 5 steps, g(x) = (-3x^2 + x + 12) / (x^2 - 4)

https://www.youtube.com/watch?v=fG2HAWBNVNE

256. Integral de x dx entre x^4 + 4x^2 + 5, completando trinomio cuadrado perfecto y derivada

https://www.youtube.com/watch?v=bkzxkTnNaG8

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=mSVrqKZDRF4

Algebra 2 - Evaluating functions for numeric values, p(x) = 2x^2 - 4x + 1. Find p(2) and p(-1)

https://www.youtube.com/watch?v=POdNjomXHWA

Function Plot

Plotting: $2e^{4x}x^3+\frac{1}{2}e^{4x}x-\frac{197}{4}e^{4x}+\left(-\frac{1}{8}\right)e^{4x}+\frac{3}{16}e^{4x}+C_0$

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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

Find the integral

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

Find the integral

$\int x^3e^{-3x}dx$

Find the integral

$\int x^3\:e^{2x}\:dx$

Find the integral

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

Find the integral

$\int2x^2e^{-2x}dx$

Find the integral

$\int\:\:x^2e^xdx$

Find the integral

$\int3x^2e^{5x}dx$

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 (8)

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