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Find the integral $\int\frac{5-e^x}{e^{2x}}dx$

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Solution

Formulas

Videos

Calculus - Find the derivative of natural logarithm using product property, d(ln(2x))/dx

https://www.youtube.com/watch?v=urYZhqwUTI0

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

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

How to find the derivative with exponential functions base 5

https://www.youtube.com/watch?v=yPAaO-FKSVQ

How to find the integral of an exponential function using u sub

https://www.youtube.com/watch?v=Sp6tUzUoSps

Pre-Calculus - Learn how to find the sine of 5 pi over 4 without a calculator, sin(5(pi)/4)

https://www.youtube.com/watch?v=lTmwVQFNM7E

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

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

Function Plot

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

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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

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Find the integral

$\int x^2e^xdx$

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 (4)

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