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Integrate the function $\frac{x^2-5x+6}{x^2+4}$

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Pre-Calculus - Graphing rational functions using 5 steps, g(x) = (-3x^2 + x + 12) / (x^2 - 4)

https://www.youtube.com/watch?v=fG2HAWBNVNE

Calculus - Find the derivative of the inverse of a radical equation, f(x)=sqrt(x^2 +6x); find g'(4)

https://www.youtube.com/watch?v=ErarY1CS-bY

Calculus - Take the log of both sides to find the derivative, y = (x(x^2 + 1)^2)/(sqrt(2x^2 - 1))

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Tutorial - Multiplying rational expressions ex 24, ((x^2-5x+6)/(x^2-4)) × ((x^2+3x+2)/(x^2-2x-3))

https://www.youtube.com/watch?v=IUrAMNFqq4A

Pre-Calculus - Adding two functions f(x) = 2x+1 , g(x) = 3x^2 + 11x - 4

https://www.youtube.com/watch?v=s9bdqr0vZA4

Pre-Calculus - Completing the square of two functions f(x) = x^2+6x+8, f(x) = -x^2+2x+5

https://www.youtube.com/watch?v=DXWE_0LLkvk

Function Plot

Plotting: $x+\arctan\left(\frac{x}{2}\right)+5\ln\left|\frac{2}{\sqrt{x^2+4}}\right|+C_0$

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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

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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 (4)

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