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

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Solution

Videos

Algebra 2 - How to find the solutions of a quadratic using the quadratic formula, 4x^2 + x = 3

https://www.youtube.com/watch?v=ZQu6QjBgXS8

Algebra 2 - How to find the discriminant of a quadratic and label the solutions, 4x^2 - x = -3

https://www.youtube.com/watch?v=UrThsuKKp9A

Algebra 2 - Graphing a quadratic with translations y = (x-3)^2 - 1

https://www.youtube.com/watch?v=tukJh6ZXyN0

Algebra 2 - How to find the real zero of a cubic function, y = -1(x - 3)^3 + 1

https://www.youtube.com/watch?v=4dSA02Fzric

Tutorial How to find the difference between two rational expressions, ((x-2)/(x^2 -8x+12))-(3/(x-2))

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

Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=ay8838UZ4nM

Function Plot

Plotting: $\ln\left(x-2\right)+\frac{1}{x-2}+C_0$

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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

$\frac{dy}{dx}=y^2-9$

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$\left(y^2+2xy\right)dx-x^2dy=0$

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$\frac{dy}{dx}=y\left(y+2\right)$

$\frac{dy}{dx}=\left(1+e^{-x}\right)\left(y^2-1\right)$

$\frac{dy}{dx}=\frac{x}{2x-y}$

Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

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