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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions >Sinh[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

Power arguments

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Involving zalpha-1and arguments a z

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Involving zalpha-1and arguments a z+b

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Involving zalpha-1and arguments a zr

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Involving zalpha-1and arguments a zr+b

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Involving rational functions

Involving (a z+b)-n

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Involving (a z2+b)-n

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Involving (a z2+b z+c)-n

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Involving algebraic functions

Involving (a z+b)beta

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Involving exponential function

Involving exp

Involving ab z sinh(c z)

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Involving ab z+e sinh(c z)

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Involving ab z sinh(c z+d)

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Involving ab z+e sinh(c z+d)

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Involving ab zr sinhv(c z)

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Involving ab zr+e sinh(c z)

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Involving ab zr+d z sinh(c z)

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Involving ab zr+d z+e sinh(c z)

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Involving ab zr sinh(f z+g)

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Involving ab zr+e sinh(f z+g)

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Involving ab zr+d z sinh(f z+g)

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Involving ab zr+d z+e sinh(f z+g)

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Involving ab z sinh(c zr)

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Involving ad z+e sinh(c zr)

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Involving ab zrsinh(c zr)

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Involving ab zr+esinh(c zr)

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Involving ab zr+d z sinh(c zr)

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Involving ab zr+d z+e sinh(c zr)

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Involving ad z sinh(c zr+g)

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Involving ad z+e sinh(c zr+g)

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Involving ab zrsinh(c zr+g)

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Involving ab zr+esinh(c zr+g)

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Involving ab zr+d z sinh(c zr+g)

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Involving ab zr+d z+e sinh(c zr+g)

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Involving rational functions of exp

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

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Involving ep z(a+b ed z)-n sinh(c z+e)

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Involving algebraic functions of exp

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

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Involving ep z(a+b ed z)beta sinh(c z+e)

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Involving exponential function and a power function

Involving exp and power

Involving zalpha-1 eb z sinh(c z)

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Involving zalpha-1 eb z+e sinh(c z)

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Involving zalpha-1 eb z sinh(c z+d)

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Involving zalpha-1 eb z+e sinh(c z+d)

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Involving zn eb zrsinh(c z)

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Involving zn eb zr+e sinh(c z)

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Involving zn eb zr+d z sinh(c z)

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Involving zn eb zr+d z+e sinh(c z)

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Involving zn eb zr sinh(f z+g)

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Involving zn eb zr+e sinh(f z+g)

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Involving zn eb zr+d z sinh(f z+g)

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Involving zn eb zr+d z+e sinh(f z+g)

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Involving zn eb z sinh(c zr)

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Involving zn ed z+e sinh(c zr)

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Involving zalpha-1 eb zr sinh(c zr)

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Involving zalpha-1 eb zr+e sinh(c zr)

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Involving zn eb zr+d z sinh(c zr)

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Involving zn eb zr+d z+e sinh(c zr)

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Involving zn ed z sinh(c zr+g)

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Involving zn ed z+e sinh(c zr+g)

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Involving zalpha-1 eb zr sinh(c zr+g)

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Involving zalpha-1 eb zr+e sinh(c zr+g)

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Involving zn eb zr+d z sinh(c zr+g)

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Involving zn eb zr+d z+e sinh(c zr+g)

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Involving exponential and algebraic functions

Involving exp and algebraic functions

Involving (a z+b)beta dzsinh(c z+e)

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Arguments involving polynomials

Involving a z2+b z+c

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Involving a z2+b z

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Involving a z2+c

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Arguments involving rational functions

Involving a z2+b/z2

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Involving a z2+b/z2+c

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Arguments involving algebraic functions

Involving a z+b z1/2+c

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Involving a z+b z1/2

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Involving a zr+c

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Arguments involving exponential functions

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Arguments involving trigonometric functions

Involving tan

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Involving cot

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Arguments involving hyperbolic functions

Involving tanh

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Involving coth

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Arguments involving inverse trigonometric functions

Involving sin-1

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Involving cos-1

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Involving tan-1

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Involving cot-1

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Involving csc-1

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Involving sec-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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Arguments involving polynomials or algebraic functions and power factors

Involving power

Involving zn sinh(c zr+f z)

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Involving zn sinh(c zr+f z+g)

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Arguments involving polynomials or algebraic functions and factors involving exponential functions

Involving exp

Involving ad z sinh(c zr+f z)

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Involving ad z+e sinh(c zr+f z)

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Involving ab zr sinh(c zr+f z)

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Involving ab zr+e sinh(c zr+f z)

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Involving ab zr+d z sinh(c zr+f z)

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Involving ab zr+d z+e sinh(c zr+f z)

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Involving ad z sinh(c zr+f z+g)

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Involving ad z+e sinh(c zr+f z+g)

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Involving ab zr sinh(c zr+f z+g)

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Involving ab zr+e sinh(c zr+f z+g)

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Involving ab zr+d z sinh(c zr+f z+g)

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Involving ab zr+d z+e sinh(c zr+f z+g)

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Arguments involving polynomials or algebraic functions and factors involving exponential function and a power function

Involving exp and power

Involving zn ed z sinh(c zr+f z)

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Involving zn ed z+e sinh(c zr+f z)

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Involving zn eb zr sinh(c zr+f z)

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Involving zn eb zr+e sinh(c zr+f z+g)

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Involving zn eb zr+d z sinh(c zr+f z)

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Involving zn eb zr+d z+e sinh(c zr+f z)

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Involving zn ed z sinh(c zr+f z+g)

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Involving zn ed z+e sinh(c zr+f z+g)

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Involving zn eb zr sinh(c zr+f z+g)

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Involving zn eb zr+e sinh(c zr+f z+g)

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Involving zn eb zr+d z sinh(c zr+f z+g)

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Involving zn eb zr+d z+e sinh(c zr+f z+g)

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Involving trigonometric functions

Involving sin

Involving sin(c z)sinh(a z)

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Involving sin(c z+d)sinh(a z)

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

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Involving sin(c z+d)sinh(a z+b)

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Involving sin(b zr) sinh(c z)

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Involving sin(b zr+e) sinh(c z)

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Involving sin(b zr+d z) sinh(c z)

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Involving sin(b zr+d z+e) sinh(c z)

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Involving sin(b zr) sinh(f z+g)

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Involving sin(b zr+e) sinh(f z+g)

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Involving sin(b zr+d z) sinh(f z+g)

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Involving sin(b zr+d z+e) sinh(f z+g)

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Involving sin(b z) sinh(c zr)

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Involving sin(d z+e) sinh(c zr)

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Involving sin(a zr) sinh(c zr)

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Involving sin(a zr+e) sinh(c zr)

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Involving sin(b zr+d z) sinh(c zr)

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Involving sin(b zr+d z+e) sinh(c zr)

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Involving sin(d z) sinh(c zr+g)

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Involving sin(d z+e) sinh(c zr+g)

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Involving sin(a zr) sinh(c zr+g)

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Involving sin(a zr+e) sinh(c zr+g)

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Involving sin(b zr+d z) sinh(c zr+g)

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Involving sin(b zr+d z+e) sinh(c zr+g)

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Involving sin(d z) sinh(c zr+f z)

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Involving sin(d z+e) sinh(c zr+f z)

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Involving sin(b zr) sinh(c zr+f z)

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Involving sin(b zr+e) sinh(c zr+f z)

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Involving sin(b zr+d z) sinh(c zr+f z)

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Involving sin(b zr+d z+e) sinh(c zr+f z)

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Involving sin(d z) sinh(c zr+f z+g)

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Involving sin(d z+e) sinh(c zr+f z+g)

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Involving sin(b zr) sinh(c zr+f z+g)

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Involving sin(b zr+e) sinh(c zr+f z+g)

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Involving sin(b zr+d z) sinh(c zr+f z+g)

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Involving sin(b zr+d z+e) sinh(c zr+f z+g)

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Involving powers of sin

Involving sinmu(c z)sinh(a z)

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Involving sinmu(c z+d)sinh(a z)

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

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Involving sinmu(c z+d)sinh(a z+b)

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Involving sinm(b zr) sinh(c z)

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Involving sinm(b zr+e) sinh(c z)

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Involving sinm(b zr+d z) sinh(c z)

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Involving sinm(b zr+d z+e) sinh(c z)

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Involving sinm(b zr) sinh(f z+g)

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Involving sinm(b zr+e) sinh(f z+g)

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Involving sinm(b zr+d z) sinh(f z+g)

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Involving sinm(b zr+d z+e) sinh(f z+g)

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Involving sinm(b z) sinh(c zr)

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Involving sinm(d z+e) sinh(c zr)

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Involving sinm(a zr) sinh(c zr)

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Involving sinm(a zr+e) sinh(c zr)

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Involving sinm(b zr+d z) sinh(c zr)

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Involving sinm(b zr+d z+e) sinh(c zr)

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Involving sinm(d z) sinh(c zr+g)

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Involving sinm(d z+e) sinh(c zr+g)

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Involving sinm(a zr) sinh(c zr+g)

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Involving sinm(a zr+e) sinh(c zr+g)

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Involving sinm(b zr+d z) sinh(c zr+g)

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Involving sinm(b zr+d z+e) sinh(c zr+g)

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Involving sinm(d z) sinh(c zr+f z)

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Involving sinm(d z+e) sinh(c zr+f z)

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Involving sinm(b zr) sinh(c zr+f z)

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Involving sinm(b zr+e) sinh(c zr+f z)

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Involving sinm(b zr+d z) sinh(c zr+f z)

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Involving sinm(b zr+d z+e) sinh(c zr+f z)

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Involving sinm(d z) sinh(c zr+f z+g)

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Involving sinm(d z+e) sinh(c zr+f z+g)

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Involving sinm(b zr) sinh(c zr+f z+g)

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Involving sinm(b zr+e) sinh(c zr+f z+g)

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Involving sinm(b zr+d z) sinh(c zr+f z+g)

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Involving sinm(b zr+d z+e) sinh(c zr+f z+g)

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Involving products of sin

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

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Involving rational functions of sin

Involving sinh(c z)/a+b sin(d z)

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Involving (a+b sin(d z))-nsinh(c z)

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Involving sinh(c z)/a+b sin2(d z)

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Involving (a+b sin2(d z))-nsinh(c z)

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Involving sin(e z) sinh(c z)/a+b sin(d z)

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Involving sin(e z)sinh(c z)(a+b sin(d z))-n

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Involving sin(e z) sinh(c z)/a+b sin2(d z)

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Involving sin(e z)sinh(c z)(a+b sin2(d z))-n

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Involving algebraic functions of sin

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

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Involving (a+b sin2(d z))beta sinh(c z)

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Involving sin(e z)sinh(c z)(a+b sin(d z))beta

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Involving sin(e z)sinh(c z)(a+b sin2(d z))beta

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Involving cos

Involving cos(c z)sinh(a z)

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Involving cos(c z+d)sinh(a z)

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

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Involving cos(c z+d)sinh(a z+b)

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Involving cos(b zr) sinh(c z)

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Involving cos(b zr+e) sinh(c z)

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Involving cos(b zr+d z) sinh(c z)

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Involving cos(b zr+d z+e) sinh(c z)

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Involving cos(b zr) sinh(f z+g)

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Involving cos(b zr+e) sinh(f z+g)

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Involving cos(b zr+d z) sinh(f z+g)

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Involving cos(b zr+d z+e) sinh(f z+g)

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Involving cos(b z) sinh(c zr)

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Involving cos(d z+e) sinh(c zr)

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Involving cos(a zr) sinh(c zr)

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Involving cos(a zr+e) sinh(c zr)

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Involving cos(b zr+d z) sinh(c zr)

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Involving cos(b zr+d z+e) sinh(c zr)

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Involving cos(d z) sinh(c zr+g)

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Involving cos(d z+e) sinh(c zr+g)

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Involving cos(a zr) sinh(c zr+g)

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Involving cos(a zr+e) sinh(c zr+g)

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Involving cos(b zr+d z) sinh(c zr+g)

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Involving cos(b zr+d z+e) sinh(c zr+g)

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Involving cos(d z) sinh(c zr+f z)

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Involving cos(d z+e) sinh(c zr+f z)

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Involving cos(b zr) sinh(c zr+f z)

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Involving cos(b zr+e) sinh(c zr+f z)

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Involving cos(b zr+d z) sinh(c zr+f z)

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Involving cos(b zr+d z+e) sinh(c zr+f z)

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Involving cos(d z) sinh(c zr+f z+g)

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Involving cos(d z+e) sinh(c zr+f z+g)

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Involving cos(b zr) sinh(c zr+f z+g)

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Involving cos(b zr+e) sinh(c zr+f z+g)

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Involving cos(b zr+d z) sinh(c zr+f z+g)

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Involving cos(b zr+d z+e) sinh(c zr+f z+g)

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Involving powers of cos

Involving cosmu(c z)sinh(a z)

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Involving cosmu(c z+d)sinh(a z)

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

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Involving cosmu(c z+d)sinh(a z+b)

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Involving cosm(b zr) sinh(c z)

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Involving cosm(b zr+e) sinh(c z)

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Involving cosm(b zr+d z) sinh(c z)

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Involving cosm(b zr+d z+e) sinh(c z)

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Involving cosm(b zr) sinh(f z+g)

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Involving cosm(b zr+e) sinh(f z+g)

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Involving cosm(b zr+d z) sinh(f z+g)

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Involving cosm(b zr+d z+e) sinh(f z+g)

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Involving cosm(b z) sinh(c zr)

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Involving cosm(d z+e) sinh(c zr)

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Involving cosm(a zr) sinh(c zr)