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# Find the integral $\int\frac{2t+1}{t^2+t+1}dt$

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### Definite integral of rational function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=4WJUEXIksH0

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

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### Finding specific antiderivatives: rational function | AP Calculus AB | Khan Academy

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

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### Definite integral of trig function | AP Calculus AB | Khan Academy

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### Linear approximation of a rational function | Derivative rules | AP Calculus AB | Khan Academy

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5
6
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

###  Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

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