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Find the integral $\int\frac{1}{x^7}dx$

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acos
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acot
asec
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
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Solution

Formulas

Videos

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

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

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

https://www.youtube.com/watch?v=bjdOWH43-9s

_-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

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

https://www.youtube.com/watch?v=vRw4ovZK1CQ

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

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

Function Plot

Plotting: $\frac{1}{-6x^{6}}+C_0$

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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 of Rational Functions

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

Used Formulas

See formulas (1)

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