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Integrate $\int x\sqrt{4-x}dx$

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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

Equations with rational expressions | Mathematics III | High School Math | Khan Academy

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

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

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

Integral definitivo envolvendo registro natural | Matematica | Khan Academy

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

Pre-Calculus - Dividing a radical expression when the denominator is a binomial, 1/(2 - sqrt(x))

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

Tutorial-How to solve a logarithmic equation with an extraneous solution ex20, 4 log3(2) -2log3(x)=1

https://www.youtube.com/watch?v=NJg15fq48vU

Function Plot

Plotting: $\frac{2\sqrt{\left(4-x\right)^{5}}}{5}+\frac{-8\sqrt{\left(4-x\right)^{3}}}{3}+C_0$

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0
a
b
c
d
f
g
m
n
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v
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x
y
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.
(◻)
+
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×
◻/◻
/
÷
◻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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