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Coth






Mathematica Notation

Traditional Notation









Elementary Functions >Coth[z]





Integration

Indefinite integration

Involving only one direct function

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Involving one direct function and elementary functions

Involving power function

Involving power

Involving znand linear arguments

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Involving exponential function

Involving exp

Involving ab z

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Involving exponential function and a power function

Involving exp and power

Involving zn eb z

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Arguments involving inverse trigonometric functions

Involving sin-1

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Involving cos-1

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Arguments involving inverse hyperbolic functions

Involving sinh-1

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Involving cosh-1

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Involving tanh-1

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Involving coth-1

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Involving csch-1

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Involving sech-1

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Involving trigonometric functions

Involving sin

Involving sin(b z)

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Involving power of sin

Involving sinm(b z)

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Involving cos

Involving cos(b z)

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Involving power of cos

Involving cosm(b z)

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Involving trigonometric and a power functions

Involving sin and power

Involving zn sin(a+b z) coth( c z)

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Involving powers of sin and power

Involving zn sihm(b z) coth(c z)

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Involving cos and power

Involving zncos(a+b z) coth( c z)

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Involving powers of cos and power

Involving zncosm(b z) coth(c z)

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Involving trigonometric and exponential functions

Involving sin and exp

Involving ep z sin(b z)

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Involving powers of sin and exp

Involving ep z sinm(b z)

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Involving cos and exp

Involving ep zcos(b z)

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Involving powers of cos and exp

Involving ep z cosm(b z)

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Involving trigonometric, exponential and a power functions

Involving sin, exp and power

Involving zn ep z sin(a+b z) coth( c z)

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Involving powers of sin, exp and power

Involving zn ep z sinm(b z) coth(c z)

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Involving cos, exp and power

Involving zn ep zcos(a+b z) coth( c z)

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Involving powers of cos, exp and power

Involving zn ep zcosm(b z) coth(c z)

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Involving hyperbolic functions

Involving sinh

Involving sinh(b z)

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Involving power of sinh

Involving sinhmu(b z)

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Involving rational functions of sinh

Involving (a+b sinh(c z))-n

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Involving algebraic functions of sinh

Involving (a+b sinh(c z))beta

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Involving cosh

Involving cosh(b z)

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Involving power of cosh

Involving coshmu(b z)

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Involving rational functions of cosh

Involving (a+b cosh(c z))-n

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Involving algebraic functions of cosh

Involving (a+b cosh(c z))beta

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Involving (a+b cosh(2c z))beta

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Involving cosh(c z)(a+b cosh(2c z))beta

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Involving cosh(2c z)(a+b cosh(2c z))beta

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Involving tanh

Involving tanh(c z)

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Involving power of tanh

Involving tanhmu(c z)

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Involving sinh and cosh

Involving sinh(c z)(a+b cosh(2c z))beta

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Other integrals

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Involving sinh and tanh

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Involving cosh and tanh

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Involving hyperbolic and a power functions

Involving sinh and power

Involving zn sinh(a+b z) coth( c z)

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Involving powers of sinh and power

Involving zn sinhu(b z) coth(c z)

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Involving cosh and power

Involving zncosh(a+b z) coth( c z)

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Involving powers of cosh and power

Involving zncoshu(b z) coth(c z)

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Involving hyperbolic and exponential functions

Involving sinh and exp

Involving ep z sinh(b z) coth( c z)

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Involving powers of sinh and exp

Involving ep z sinhu(b z) coth(c z)

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Involving cosh and exp

Involving ep zcosh(b z) coth( c z)

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Involving powers of cosh and exp

Involving ep z coshu(b z) coth(c z)

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Involving powers of tanh and exp

Involving ep ztanhmu(c z) coth(c z)

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Involving hyperbolic and trigonometric functions

Involving sin and sinh

Involving sin(a z)sinh(b z) coth( c z)

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Involving powers of sin and powers of sinh

Involving sinm(a z) sinhu(b z) coth(c z)

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Involving cos and sinh

Involving cos(a z)sinh(b z) coth( c z)

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Involving powers of cos and powers of sinh

Involving cosm(a z) sinhu(b z) coth(c z)

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Involving sin and cosh

Involving sin(a z)cosh(b z) coth( c z)

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Involving powers of sin and powers of cosh

Involving sinm(a z) coshu(b z) coth(c z)

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Involving cos and cosh

Involving cos(a z)cosh(b z) coth( c z)

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Involving powers of cos and powers of cosh

Involving cosm(a z) coshu(b z) coth(c z)

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Involving powers of sin and powers of tanh

Involving sinm(a z) tanhmu(c z) coth(c z)

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Involving powers of cos and powers of tanh

Involving cosm(a z) tanhmu(c z) coth(c z)

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Involving hyperbolic, exponential and a power functions

Involving sinh, exp and power

Involving zn ep z sinh(a+b z) coth( c z)

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Involving powers of sinh, exp and power

Involving zn ep z sinhu(b z) coth(c z)

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Involving cosh, exp and power

Involving zn ep zcosh(a+b z) coth( c z)

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Involving powers of cosh, exp and power

Involving zn ep zcoshu(b z) coth(c z)

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Involving hyperbolic, exponential and trigonometric functions

Involving sin, sinh and exp

Involving ep z sin(a z)sinh(b z) coth( c z)

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Involving powers of sin, powers of sinh and exp

Involving ep z sinm(a z) sinhu(b z) coth(c z)

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Involving cos, sinh and exp

Involving ep z cos(a z)sinh(b z) coth( c z)

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Involving powers of cos, powers of sinh and exp

Involving ep z cosm(a z) sinhu(b z) coth(c z)

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Involving sin, cosh and exp

Involving ep z sin(a z)cosh(b z) coth( c z)

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Involving powers of sin, powers of cosh and exp

Involving ep z sinm(a z) coshu(b z) coth(c z)

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Involving cos, cosh and exp

Involving ep z cos(a z)cosh(b z) coth( c z)

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Involving powers of cos, powers of cosh and exp

Involving ep z cosm(a z) coshu(b z) coth(c z)

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Involving powers of sin, powers of tanh and exp

Involving ep zsinm(a z) tanhmu(c z) coth(c z)

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Involving powers of cos, powers of tanh and exp

Involving ep zcosm(a z) tanhmu(c z) coth(c z)

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Involving hyperbolic, trigonometric and a power functions

Involving sin, sinh and power

Involving zn sin(a z)sinh(b z) coth( c z)

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Involving powers of sin, powers of sinh and power

Involving znsinm(a z) sinhu(b z) coth(c z)

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Involving cos, sinh and power

Involving zncos(a z)sinh(b z) coth( c z)

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Involving powers of cos, powers of sinh and power

Involving zn cosm(a z) sinhu(b z) coth(c z)

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Involving sin, cosh and power

Involving znsin(a z)cosh(b z) coth( c z)

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Involving powers of sin, powers of cosh and power

Involving znsinm(a z) coshu(c z) coth(c z)

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Involving cos, cosh and power

Involving zn cos(a z)cosh(b z) coth( c z)

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Involving powers of cos, powers of cosh and power

Involving zncosm(a z) coshu(c z) coth(c z)

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Involving hyperbolic, exponential, trigonometric and a power functions

Involving sin, sinh, exp and power

Involving zn ep z sin(a z)sinh(b z) coth( c z)

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Involving powers of sin, powers of sinh, exp and power

Involving zn ep z sinm(a z) sinhu(b z) coth(c z)

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Involving cos, sinh, exp and power

Involving zn ep z cos(a z)sinh(b z) coth( c z)

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Involving powers of cos, powers of sinh, exp and power

Involving zn ep z cosm(a z) sinhu(b z) coth(c z)

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Involving sin, cosh, exp and power

Involving zn ep z sin(a z)cosh(b z) coth( c z)

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Involving powers of sin, powers of cosh, exp and power

Involving zn ep z sinm(a z) coshu(b z) coth(c z)

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Involving cos, cosh, exp and power

Involving zn ep z cos(a z)cosh(b z) coth( c z)

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Involving powers of cos, powers of cosh, exp and power

Involving zn ep z cosm(a z) coshu(b z) coth(c z)

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Involving functions of the direct function

Involving powers of the direct function

Involving powers of coth

Linear argument

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Involving products of the direct functions

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Involving powers of products of the direct function

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Involving rational functions of the direct function

Involving (a+b coth(c z))-n

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Involving (a+b coth2(c z))-n

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Involving algebraic functions of the direct function

Involving (a+b coth(c z))beta

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Involving ((a+b coth(c z))n)beta

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Involving (a+b coth2(c z))beta

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Involving ((a+b coth2(c z))n)beta

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Involving (a+b coth1/2(c z))beta

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Involving functions of the direct function and a power function

Involving powers of the direct function and a power function

Involving powers of coth and power

Involving znand linear arguments

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Involving functions of the direct function and exponential function

Involving powers of the direct function and exponential function

Involving exp

Involving eb z

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Involving functions of the direct function, exponential and a power functions

Involving powers of the direct function, exponential and a power functions

Involving exp and power

Involving zn eb z

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Involving functions of the direct function and trigonometric functions

Involving powers of the direct function and trigonometric functions

Involving sin

Involving sin(b z)

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Involving powers of sin

Involving sinm(b z)

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Involving cos

Involving cos(b z)

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Involving powers of cos

Involving cosm(b z)

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Involving functions of the direct function, trigonometric and a power functions

Involving powers of the direct function, trigonometric and a power functions

Involving sin and power

Involving zn sin(a+b z) cothv( c z)

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Involving powers of sin and power

Involving zn sihm(b z) cothv(c z)

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Involving cos and power

Involving zncos(a+b z) cothv( c z)

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Involving powers of cos and power

Involving zncosm(b z) cothnu(c z)

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Involving functions of the direct function, trigonometric and exponential functions

Involving powers of the direct function, trigonometric and exponential functions

Involving sin and exp

Involving ep z sin(a z) cothv( c z)

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Involving powers of sin and exp

Involving ep z sinm(a z) cothnu(c z)

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Involving cos and exp

Involving ep zcos(a z) cothv( c z)

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Involving powers of cos and exp

Involving ep z cosm(a z) cothnu(c z)

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Involving functions of the direct function, trigonometric, exponential and a power functions

Involving powers of the direct function, trigonometric, exponential and a power functions

Involving sin, exp and power

Involving zn ep z sin(a+b z) cothv( c z)

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Involving powers of sin, exp and power

Involving zn ep z sinm(b z) cothv(c z)

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Involving cos, exp and power

Involving zn ep zcos(a+b z) cothv( c z)

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Involving powers of cos, exp and power

Involving zn ep zcosm(b z) cothv(c z)

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Involving functions of the direct function and hyperbolic functions

Involving powers of the direct function and hyperbolic functions

Involving sinh

Involving sinh(b z)

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Involving power of sinh

Involving sinhu(b z) cothnu(c z)

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Involving powers of products with sinh

Involving (sinhm(c z) coth(c z))1/2

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Involving algebraic functions of sinh

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Involving cosh

Involving cosh(b z)

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Involving power of cosh

Involving coshu(b z) cothnu(c z)

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Involving powers of products with cosh

Involving (coshm(c z) coth(c z))1/2

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Involving algebraic functions of cosh

Involving (a+b cosh(c z))beta

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Involving (a+b cosh(2c z))beta

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Involving cosh(c z)(a+b cosh(2c z))beta

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Involving cosh(2c z)(a+b cosh(2c z))beta

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Involving tanh

Involving tanh(c z) cothv( c z)

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Involving power of tanh

Involving tanhmu(c z) cothnu(c z)

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Involving powers of products with tanh

Involving (tanhm(c z) coth(d z))1/2

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Involving rational functions of the direct function and hyperbolic functions

Involving rational functions of sinh

Involving (a sinh(c z)+b coth(c z))-n

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Involving rational functions of cosh

Involving (a cosh(c z)+b coth(c z))-n

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Involving rational functions of tanh

Involving (a tanh(c z)+b coth(c z))-n

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Involving (a+b tanh(d z)+c coth(d z))-n

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Involving (a tanh2(c z)+b coth2(c z))-n

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Involving algebraic functions of the direct function and hyperbolic functions

Involving sinh

Involving sinh(c z)(a+b coth(c z))beta

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Involving sinh(c z)(a+b coth2(c z))beta

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Involving cosh

Involving cosh(c z)(a+b coth(c z))beta

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Involving cosh(c z)(a+b coth2(c z))beta

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Involving tanh

Involving tanh(c z)(a+b coth(c z))beta

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Involving tanh(c z)(a+b coth2(c z))beta

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Involving sinh and tanh

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Involving functions of the direct function, hyperbolic and a power functions

Involving powers of the direct function, hyperbolic and a power functions

Involving sinh and power

Involving zn sinh(a+b z) cothv( c z)

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Involving powers of sinh and power

Involving zn sinhu(b z) cothv(c z)

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Involving cosh and power

Involving zncosh(a+b z) cothv( c z)

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Involving powers of cosh and power

Involving zncoshu(b z) cothnu(c z)

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Involving functions of the direct function, hyperbolic and exponential functions

Involving powers of the direct function, hyperbolic and exponential functions

Involving sinh and exp

Involving ep z sinh(b z) cothv( c z)

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Involving powers of sinh and exp

Involving ep z sinhu(b z) cothnu(c z)

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Involving cosh and exp

Involving ep zcosh(b z) cothv( c z)

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Involving powers of cosh and exp

Involving ep z coshu(b z) cothnu(c z)

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Involving tanh and exp

Involving ep ztanh(c z) cothv( c z)

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Involving powers of tanh and exp

Involving ep ztanhmu(c z) cothnu(c z)

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Involving functions of the direct function, hyperbolic and trigonometric functions

Involving powers of the direct function, hyperbolic and trigonometric functions

Involving sin and sinh

Involving sin(a z)sinh(b z) cothv( c z)

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Involving powers of sin and powers of sinh

Involving sinm(a z) sinhu(b z) cothnu(c z)

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Involving cos and sinh

Involving cos(a z)sinh(b z) cothv( c z)

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Involving powers of cos and powers of sinh

Involving cosm(a z) sinhu(b z) cothnu(c z)

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Involving sin and cosh

Involving sin(a z)cosh(b z) cothv( c z)

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Involving powers of sin and powers of cosh

Involving sinm(a z) coshu(b z) cothnu(c z)

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Involving cos and cosh

Involving cos(a z)cosh(b z) cothv( c z)

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Involving powers of cos and powers of cosh

Involving cosm(a z) coshu(b z) cothnu(c z)

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Involving sin and tanh

Involving sin(a z)tanh(c z) cothv( c z)

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Involving powers of sin and powers of tanh

Involving sinm(a z) tanhmu(c z) cothnu(c z)

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Involving cos and tanh

Involving cos(a z)tanh(c z) cothv( c z)

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Involving powers of cos and powers of tanh

Involving cosm(a z) tanhmu(c z) cothnu(c z)

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Involving functions of the direct function, hyperbolic, exponential and a power functions

Involving powers of the direct function, hyperbolic, exponential and a power functions

Involving sinh, exp and power

Involving zn ep z sinh(a+b z) cothv( c z)

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Involving powers of sinh, exp and power

Involving zn ep z sinhu(b z) cothv(c z)

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Involving cosh, exp and power

Involving zn ep zcosh(a+b z) cothv( c z)

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Involving powers of cosh, exp and power

Involving zn ep zcoshu(b z) cothv(c z)

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Involving functions of the direct function, hyperbolic, exponential and trigonometric functions

Involving powers of the direct function, hyperbolic, exponential and trigonometric functions

Involving sin, sinh and exp

Involving ep z sin(a z)sinh(b z) cothv( c z)

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Involving powers of sin, powers of sinh and exp

Involving ep z sinm(a z) sinhu(b z) cothnu(c z)

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Involving cos, sinh and exp

Involving ep z cos(a z)sinh(b z) cothv( c z)

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Involving powers of cos, powers of sinh and exp

Involving ep z cosm(a z) sinhu(b z) cothnu(c z)

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Involving sin, cosh and exp

Involving ep z sin(a z)cosh(b z) cothv( c z)

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Involving powers of sin, powers of cosh and exp

Involving ep z sinm(a z) coshu(b z) cothnu(c z)

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Involving cos, cosh and exp

Involving ep z cos(a z)cosh(b z) cothv( c z)

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Involving powers of cos, powers of cosh and exp

Involving ep z cosm(a z) coshu(b z) cothnu(c z)

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Involving sin, tanh and exp

Involving ep zsin(a z)tanh(c z) cothv( c z)

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Involving powers of sin, powers of tanh and exp

Involving ep zsinm(a z) tanhmu(c z) cothnu(c z)

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Involving cos, tanh and exp

Involving ep zcos(a z)tanh(c z) cothv( c z)

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Involving powers of cos, powers of tanh and exp

Involving ep zcosm(a z) tanhmu(c z) cothnu(c z)

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Involving functions of the direct function, hyperbolic, trigonometric and a power functions

Involving powers of the direct function, hyperbolic, trigonometric and a power functions

Involving sin, sinh and power

Involving zn sin(a z)sinh(b z) cothv( c z)

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Involving powers of sin, powers of sinh and power

Involving znsinm(a z) sinhu(b z) cothv(c z)

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Involving cos, sinh and power

Involving zncos(a z)sinh(b z) cothv( c z)

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Involving powers of cos, powers of sinh and power

Involving zn cosm(a z) sinhu(b z) cothnu(c z)

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Involving sin, cosh and power

Involving znsin(a z)cosh(b z) cothv( c z)

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Involving powers of sin, powers of cosh and power

Involving znsinm(a z) coshu(b z) cothv(c z)

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Involving cos, cosh and power

Involving zn cos(a z)cosh(b z) cothv( c z)

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Involving powers of cos, powers of cosh and power

Involving zncosm(a z) coshu(b z) cothv(c z)

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Involving functions of the direct function, hyperbolic, exponential, trigonometric and a power functions

Involving powers of the direct function, hyperbolic, exponential, trigonometric and a power functions

Involving sin, sinh, exp and power

Involving zn ep z sin(a z)sinh(b z) cothv( c z)

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Involving powers of sin, powers of sinh, exp and power

Involving zn ep z sinm(a z) sinhu(b z) cothnu(c z)

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Involving cos, sinh, exp and power

Involving zn ep z cos(a z)sinh(b z) cothnu( c z)

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Involving powers of cos, powers of sinh, exp and power

Involving zn ep z cosm(a z) sinhu(b z) cothv(c z)

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Involving sin, cosh, exp and power

Involving zn ep z sin(a z)cosh(b z) cothv( c z)

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Involving powers of sin, powers of cosh, exp and power

Involving zn ep z sinm(a z) coshu(b z) cothv(c z)

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Involving cos, cosh, exp and power

Involving zn ep z cos(a z)cosh(b z) cothv( c z)

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Involving powers of cos, powers of cosh, exp and power

Involving zn ep z cosm(a z) coshu(b z) cothv(c z)

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Definite integration

For the direct function itself

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Involving the direct function

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Involving related functions

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