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Integrate $\int x^3\sqrt{4-x^2}dx$

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Solution

Formulas

Videos

Algebra 2 - Simplifying a rational exponent with a rational base, (4/3)^(-1/2)

https://www.youtube.com/watch?v=8s2xAi_B4uc

Algebra 2 - Multiplying two exponents with rational powers, then simplifying, 2x^(2/5) . 6x^(1/4)

https://www.youtube.com/watch?v=ITQM50h5BlY

Factoring a perfect square trinomial with fractions, boo ex 31, x^2 + x + 1/4

https://www.youtube.com/watch?v=gHB8Lp_pFGI

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

https://www.youtube.com/watch?v=r56m6RJexXc

Tutorial - Factoring using difference of two squares, x^2 - 9, 16x^4 - 100y^2, 4(4x^4 - 25y^2)

https://www.youtube.com/watch?v=IMsgq-Nye6Y

Algebra 1 - Solve an equation with a rational term 1/x= 3+ 7/x^2+7x ex 2

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

Function Plot

Plotting: $\frac{\sqrt{\left(4-x^2\right)^{5}}}{5}+\frac{-4\sqrt{\left(4-x^2\right)^{3}}}{3}+C_0$

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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
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 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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