Integrate $\int x^2\sqrt{x^2-9}dx$

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205. Integral de dx entre x raiz de 1 - x^2. SUSTITUCION TRIGONOMETRICA. EJERCICIO RESUELTO.

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Function Plot

Plotting: $\frac{81}{8}\ln\left(x+\sqrt{x^2-9}\right)+\frac{9}{8}x\sqrt{x^2-9}+\frac{1}{12}\sqrt{x^2-9}x^3-\frac{27}{2}\ln\left(\frac{x+\sqrt{x^2-9}}{3}\right)-\frac{3}{2}\sqrt{x^2-9}x+C_1$

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5
6
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 with Radicals

Integrals with radicals are those integrals that contain a radical (square root, cubic, etc.) in the numerator or denominator of the integral.

Used Formulas

See formulas (4)

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