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

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Solution

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https://www.youtube.com/watch?v=cPvUjcS7N9w

Definite integral of rational function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=4WJUEXIksH0

Pre-Calculus - Solving trigonometric equations ex 8, cosx + sinx.tanx = 2

https://www.youtube.com/watch?v=LasCSb_b4OY

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

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

Function Plot

Plotting: $\frac{1}{2}x^3e^{2x}+\frac{5}{2}x^2e^{2x}-\frac{3}{4}e^{2x}x^{2}-\frac{5}{2}e^{2x}x+\frac{3}{4}e^{2x}x-\frac{11}{8}e^{2x}+\frac{5}{4}e^{2x}+C_0$

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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

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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