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Solve the trigonometric integral $\int\mathrm{coth}\left(x\right)dx$

Used Formulas

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◻√◻
◻√
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ln
log
log◻
lim
d/dx
D□x
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|◻|
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=
>
<
>=
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sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Solution

Formulas

Videos

Basic Derivatives

· Derivative of the linear function
$\frac{d}{dx}\left(x\right)=1$

Basic Integrals

· Integral of a Constant
$\int cdx=cvar+C$
· Constant factor Rule
$\int cxdx=c\int xdx$

Integration Techniques

· Integration by Parts
$\int udv=uv - \int vdu$
· Integration by Substitution
$\int f\left(x\right)dx=\int f\left(g\left(t\right)\right) g'\left(t\right)dt$

Integrals of Hyperbolic Functions

$\int\mathrm{csch}\left(\theta \right)^2dx=-\mathrm{coth}\left(\theta \right)+C$

Function Plot

Plotting: $\ln\left(\mathrm{sinh}\left(x\right)\right)+C_0$

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1
2
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4
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
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 (6)

Related Topics

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