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Find the integral $\int\frac{1}{y^2-7}dy$

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Solution

Videos

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

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

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

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

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

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

2011 Calculus AB Free Response #1 parts b c d | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=OSipkz8vDjE

How to find the integral of an exponential function using u sub

https://www.youtube.com/watch?v=Sp6tUzUoSps

Finding specific antiderivatives: exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=T8rbpI4OZCc

Function Plot

Plotting: $-\frac{24}{127}\ln\left|y+\sqrt{7}\right|+\frac{24}{127}\ln\left|y-\sqrt{7}\right|+C_0$

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a
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x
y
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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: Limits of Exponential Functions

Those are limits of expressions of the form f(x)^g(x).

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