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Find the integral $\int\frac{1}{x\left(0.4x+2\right)}dx$

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Solution

Formulas

Videos

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=mSVrqKZDRF4

Algebra 2 - Determine and describe the discriminant 5x^2 - x -1 = 0

https://www.youtube.com/watch?v=F3eTBxCnzvI

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

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

Calculus - Evaluating a limit by rationalizing the radical, lim(x tends to 0) (sqrt(x + 1) - 1)/x

https://www.youtube.com/watch?v=v8dIvXm03dw

Algebra 2 - Find the solutions to the given trinomial - Online Tutor 3x^2 - 2x - 1 = 0

https://www.youtube.com/watch?v=b0e0g6Ig5W4

Function Plot

Plotting: $\frac{1}{2}\ln\left(x\right)-\frac{1}{2}\ln\left(0.4x+2\right)+C_0$

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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 by Partial Fraction Expansion

The partial fraction decomposition or partial fraction expansion of a rational function is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

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