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Solve the trigonometric integral $\int\sec\left(\pi x\right)^3dx$

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Solution

Formulas

Videos

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

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https://www.youtube.com/watch?v=2N6A4ed8s58

Integral of 1/sqrt(1-x^2)

https://www.youtube.com/watch?v=9AvyXgfNN9E

Integration By Parts - Tabular Method

https://www.youtube.com/watch?v=Yyic5aaXGaw

Integral of Sin(lnx)

https://www.youtube.com/watch?v=r2zyTfXyYMc

Integral of (lnx)^2

https://www.youtube.com/watch?v=Jmb91aClK8E

Function Plot

Plotting: $\frac{invfrac\left(\pi \right)\tan\left(\pi x\right)\sec\left(\pi x\right)+invfrac\left(\pi \right)\ln\left(\sec\left(\pi x\right)+\tan\left(\pi x\right)\right)}{invfrac\left(\pi \right)+1}+C_0$

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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: Trigonometric Integrals

Integrals that contain trigonometric functions and their powers.

Used Formulas

See formulas (8)

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