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Integrate $\int x^2\sqrt{x^2-5}dx$

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Solution

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Videos

Tutorial - How to solve a quadratic by applying the square root method ex 13, y = x^2 + 5

https://www.youtube.com/watch?v=fwOu6M71ecc

233. Integral de dx entre x por raíz cuadrada de x^2 - 5, aplicando fórmula

https://www.youtube.com/watch?v=6qWW-ZS-2Ic

Pre-Calculus - Operations with functions f(x) = 2x -5 , g(x) = 2-x and f(x) = x^2+6 , g(x) root(1-x)

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

Tutorial How to find the difference between two rational expressions, ((x-2)/(x^2 -8x+12))-(3/(x-2))

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

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

Function Plot

Plotting: $\frac{75}{8}\ln\left(x+\sqrt{x^2-5}\right)+C_1+\frac{15}{8}x\sqrt{x^2-5}+\frac{1}{4}x^{3}\sqrt{x^2-5}-\frac{25}{2}\ln\left(\frac{v+\sqrt{v^{2}-5}}{\sqrt{5}}\right)-\frac{5}{2}v\sqrt{v^{2}-5}$

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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: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

Used Formulas

See formulas (3)

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