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Find the integral $\int\frac{-x^2+8x^2-9x+2}{\left(x-3\right)^2}dx$

Step-by-step Solution

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Final Answer

$7x+\frac{-38}{x-3}+33\ln\left(x-3\right)+C_0$
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Step-by-step Solution

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Combining like terms $-x^2$ and $8x^2$

$\int\frac{7x^2-9x+2}{\left(x-3\right)^2}dx$

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

$\int\frac{7x^2-9x+2}{\left(x-3\right)^2}dx$

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Learn how to solve integrals of rational functions problems step by step online. Find the integral int((-x^2+8x^2-9x+2)/((x-3)^2))dx. Combining like terms -x^2 and 8x^2. Expand. Divide 7x^2-9x+2 by x^2-6x+9. Resulting polynomial.

Final Answer

$7x+\frac{-38}{x-3}+33\ln\left(x-3\right)+C_0$

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Function Plot

Plotting: $7x+\frac{-38}{x-3}+33\ln\left(x-3\right)+C_0$

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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
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

How to improve your answer:

Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

Used Formulas

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