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Find the integral $\int\frac{1}{\left(x-1\right)\left(x+3\right)}dx$

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Solution

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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

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

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

Calculus - Learn how to take derivative using quotient rule by simplifying first, f(x)=x(1- 4/(x+3))

https://www.youtube.com/watch?v=Mqjiw5Ax_4w

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

https://www.youtube.com/watch?v=7aF6Ck6ZRxw

Algebra 2 - Learn step by step how to simplify a complex fraction, (3/(x+1)) / (5/(x -1))

https://www.youtube.com/watch?v=uXVIkvfXzr8

Function Plot

Plotting: $\frac{1}{4}\ln\left(x-1\right)-\frac{1}{4}\ln\left(x+3\right)+C_0$

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5
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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
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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Similar Problems Solved

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Find the integral

$\int\frac{1}{\left(x^4+1\right)}dx$

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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