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Find the integral $\int\frac{9-4x^2}{x}dx$

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Solution

Formulas

Videos

234. Integral de dx entre x por raíz cuadrada de 4x^2 - 9, aplicando fórmula

https://www.youtube.com/watch?v=tn1VafbO_JU

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

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

Algebra 2 - Learn to solve a rational equation by multiplying by the LCD (15/x)+((9x-7)/(x+2))=9

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

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

236. Integral de x dx entre raíz cuadrada de 9 - x^4, aplicando fórmula

https://www.youtube.com/watch?v=SUT6G4kI25o

Function Plot

Plotting: $9\ln\left(x\right)-2x^2+C_0$

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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

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Main Topic: Integrals of Rational Functions

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

Used Formulas

See formulas (3)

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