Hyperbolic sine: Integration (subsection 21/01/02)

Sinh

$Mathematica Notation$

Elementary Functions

Sinh[z]

Integration

Indefinite integration

Involving one direct function and elementary functions

Involving power function

Involving power

Power arguments

Involving z^alpha-1and arguments a z

Involving z^alpha-1and arguments a z+b

Involving z^alpha-1and arguments a z^r

Involving z^alpha-1and arguments a z^r+b

Involving rational functions

Involving (a z+b)^-n

Involving (a z²+b)^-n

Involving (a z²+b z+c)^-n

Involving algebraic functions

Involving (a z+b)^beta

Involving exponential function

Involving exp

Involving a^{b z} sinh(c z)

Involving a^{b z+e} sinh(c z)

Involving a^{b z} sinh(c z+d)

Involving a^{b z+e} sinh(c z+d)

Involving a^{b z^r} sinh^v(c z)

Involving a^{b z^r+e} sinh(c z)

Involving a^{b z^r+d z} sinh(c z)

Involving a^{b z^r+d z+e} sinh(c z)

Involving a^{b z^r} sinh(f z+g)

Involving a^{b z^r+e} sinh(f z+g)

Involving a^{b z^r+d z} sinh(f z+g)

Involving a^{b z^r+d z+e} sinh(f z+g)

Involving a^{b z} sinh(c z^r)

Involving a^{d z+e} sinh(c z^r)

Involving a^{b z^r}sinh(c z^r)

Involving a^{b z^r+e}sinh(c z^r)

Involving a^{b z^r+d z} sinh(c z^r)

Involving a^{b z^r+d z+e} sinh(c z^r)

Involving a^{d z} sinh(c z^r+g)

Involving a^{d z+e} sinh(c z^r+g)

Involving a^{b z^r}sinh(c z^r+g)

Involving a^{b z^r+e}sinh(c z^r+g)

Involving a^{b z^r+d z} sinh(c z^r+g)

Involving a^{b z^r+d z+e} sinh(c z^r+g)

Involving rational functions of exp

Involving (a+b e^{d z})^-n sinh(c z+e)

Involving e^{p z}(a+b e^{d z})^-n sinh(c z+e)

Involving algebraic functions of exp

Involving (a+b e^{d z})^beta sinh(c +ez)

Involving e^{p z}(a+b e^{d z})^beta sinh(c z+e)

Involving exponential function and a power function

Involving exp and power

Involving z^alpha-1 e^{b z} sinh(c z)

Involving z^alpha-1 e^{b z+e} sinh(c z)

Involving z^alpha-1 e^{b z} sinh(c z+d)

Involving z^alpha-1 e^{b z+e} sinh(c z+d)

Involving zⁿ e^{b z^r}sinh(c z)

Involving zⁿ e^{b z^r+e} sinh(c z)

Involving zⁿ e^{b z^r+d z} sinh(c z)

Involving zⁿ e^{b z^r+d z+e} sinh(c z)

Involving zⁿ e^{b z^r} sinh(f z+g)

Involving zⁿ e^{b z^r+e} sinh(f z+g)

Involving zⁿ e^{b z^r+d z} sinh(f z+g)

Involving zⁿ e^{b z^r+d z+e} sinh(f z+g)

Involving zⁿ e^{b z} sinh(c z^r)

Involving zⁿ e^{d z+e} sinh(c z^r)

Involving z^alpha-1 e^{b z^r} sinh(c z^r)

Involving z^alpha-1 e^{b z^r+e} sinh(c z^r)

Involving zⁿ e^{b z^r+d z} sinh(c z^r)

Involving zⁿ e^{b z^r+d z+e} sinh(c z^r)

Involving zⁿ e^{d z} sinh(c z^r+g)

Involving zⁿ e^{d z+e} sinh(c z^r+g)

Involving z^alpha-1 e^{b z^r} sinh(c z^r+g)

Involving z^alpha-1 e^{b z^r+e} sinh(c z^r+g)

Involving zⁿ e^{b z^r+d z} sinh(c z^r+g)

Involving zⁿ e^{b z^r+d z+e} sinh(c z^r+g)

Involving exponential and algebraic functions

Involving exp and algebraic functions

Involving (a z+b)^beta d^zsinh(c z+e)

Arguments involving polynomials

Involving a z²+b z+c

Involving a z²+b z

Involving a z²+c

Arguments involving rational functions

Involving a z²+b/z²

Involving a z²+b/z²+c

Arguments involving algebraic functions

Involving a z+b z^1/2+c

Involving a z+b z^1/2

Involving a z^r+c

Arguments involving exponential functions

Arguments involving trigonometric functions

Involving tan

Involving cot

Arguments involving hyperbolic functions

Involving tanh

Involving coth

Arguments involving inverse trigonometric functions

Involving sin^-1

Involving cos^-1

Involving tan^-1

Involving cot^-1

Involving csc^-1

Involving sec^-1

Arguments involving inverse hyperbolic functions

Involving sinh^-1

Involving cosh^-1

Involving tanh^-1

Involving coth^-1

Involving csch^-1

Involving sech^-1

Arguments involving polynomials or algebraic functions and power factors

Involving power

Involving zⁿ sinh(c z^r+f z)

Involving zⁿ sinh(c z^r+f z+g)

Arguments involving polynomials or algebraic functions and factors involving exponential functions

Involving exp

Involving a^{d z} sinh(c z^r+f z)

Involving a^{d z+e} sinh(c z^r+f z)

Involving a^{b z^r} sinh(c z^r+f z)

Involving a^{b z^r+e} sinh(c z^r+f z)

Involving a^{b z^r+d z} sinh(c z^r+f z)

Involving a^{b z^r+d z+e} sinh(c z^r+f z)

Involving a^{d z} sinh(c z^r+f z+g)

Involving a^{d z+e} sinh(c z^r+f z+g)

Involving a^{b z^r} sinh(c z^r+f z+g)

Involving a^{b z^r+e} sinh(c z^r+f z+g)

Involving a^{b z^r+d z} sinh(c z^r+f z+g)

Involving a^{b z^r+d z+e} sinh(c z^r+f z+g)

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

Involving exp and power

Involving zⁿ e^{d z} sinh(c z^r+f z)

Involving zⁿ e^{d z+e} sinh(c z^r+f z)

Involving zⁿ e^{b z^r} sinh(c z^r+f z)

Involving zⁿ e^{b z^r+e} sinh(c z^r+f z+g)

Involving zⁿ e^{b z^r+d z} sinh(c z^r+f z)

Involving zⁿ e^{b z^r+d z+e} sinh(c z^r+f z)

Involving zⁿ e^{d z} sinh(c z^r+f z+g)

Involving zⁿ e^{d z+e} sinh(c z^r+f z+g)

Involving zⁿ e^{b z^r} sinh(c z^r+f z+g)

Involving zⁿ e^{b z^r+e} sinh(c z^r+f z+g)

Involving zⁿ e^{b z^r+d z} sinh(c z^r+f z+g)

Involving zⁿ e^{b z^r+d z+e} sinh(c z^r+f z+g)

Involving trigonometric functions

Involving sin

Involving sin(c z)sinh(a z)

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

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

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

Involving sin(b z^r) sinh(c z)

Involving sin(b z^r+e) sinh(c z)

Involving sin(b z^r+d z) sinh(c z)

Involving sin(b z^r+d z+e) sinh(c z)

Involving sin(b z^r) sinh(f z+g)

Involving sin(b z^r+e) sinh(f z+g)

Involving sin(b z^r+d z) sinh(f z+g)

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

Involving sin(b z) sinh(c z^r)

Involving sin(d z+e) sinh(c z^r)

Involving sin(a z^r) sinh(c z^r)

Involving sin(a z^r+e) sinh(c z^r)

Involving sin(b z^r+d z) sinh(c z^r)

Involving sin(b z^r+d z+e) sinh(c z^r)

Involving sin(d z) sinh(c z^r+g)

Involving sin(d z+e) sinh(c z^r+g)

Involving sin(a z^r) sinh(c z^r+g)

Involving sin(a z^r+e) sinh(c z^r+g)

Involving sin(b z^r+d z) sinh(c z^r+g)

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

Involving sin(d z) sinh(c z^r+f z)

Involving sin(d z+e) sinh(c z^r+f z)

Involving sin(b z^r) sinh(c z^r+f z)

Involving sin(b z^r+e) sinh(c z^r+f z)

Involving sin(b z^r+d z) sinh(c z^r+f z)

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

Involving sin(d z) sinh(c z^r+f z+g)

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

Involving sin(b z^r) sinh(c z^r+f z+g)

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

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

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

Involving powers of sin

Involving sin^mu(c z)sinh(a z)

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

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

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

Involving sin^m(b z^r) sinh(c z)

Involving sin^m(b z^r+e) sinh(c z)

Involving sin^m(b z^r+d z) sinh(c z)

Involving sin^m(b z^r+d z+e) sinh(c z)

Involving sin^m(b z^r) sinh(f z+g)

Involving sin^m(b z^r+e) sinh(f z+g)

Involving sin^m(b z^r+d z) sinh(f z+g)

Involving sin^m(b z^r+d z+e) sinh(f z+g)

Involving sin^m(b z) sinh(c z^r)

Involving sin^m(d z+e) sinh(c z^r)

Involving sin^m(a z^r) sinh(c z^r)

Involving sin^m(a z^r+e) sinh(c z^r)

Involving sin^m(b z^r+d z) sinh(c z^r)

Involving sin^m(b z^r+d z+e) sinh(c z^r)

Involving sin^m(d z) sinh(c z^r+g)

Involving sin^m(d z+e) sinh(c z^r+g)

Involving sin^m(a z^r) sinh(c z^r+g)

Involving sin^m(a z^r+e) sinh(c z^r+g)

Involving sin^m(b z^r+d z) sinh(c z^r+g)

Involving sin^m(b z^r+d z+e) sinh(c z^r+g)

Involving sin^m(d z) sinh(c z^r+f z)

Involving sin^m(d z+e) sinh(c z^r+f z)

Involving sin^m(b z^r) sinh(c z^r+f z)

Involving sin^m(b z^r+e) sinh(c z^r+f z)

Involving sin^m(b z^r+d z) sinh(c z^r+f z)

Involving sin^m(b z^r+d z+e) sinh(c z^r+f z)

Involving sin^m(d z) sinh(c z^r+f z+g)

Involving sin^m(d z+e) sinh(c z^r+f z+g)

Involving sin^m(b z^r) sinh(c z^r+f z+g)

Involving sin^m(b z^r+e) sinh(c z^r+f z+g)

Involving sin^m(b z^r+d z) sinh(c z^r+f z+g)

Involving sin^m(b z^r+d z+e) sinh(c z^r+f z+g)

Involving products of sin

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

Involving rational functions of sin

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

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

Involving sinh(c z)/a+b sin²(d z)

Involving (a+b sin²(d z))^-nsinh(c z)

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

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

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

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

Involving algebraic functions of sin

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

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

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

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

Involving cos

Involving cos(c z)sinh(a z)

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

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

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

Involving cos(b z^r) sinh(c z)

Involving cos(b z^r+e) sinh(c z)

Involving cos(b z^r+d z) sinh(c z)

Involving cos(b z^r+d z+e) sinh(c z)

Involving cos(b z^r) sinh(f z+g)

Involving cos(b z^r+e) sinh(f z+g)

Involving cos(b z^r+d z) sinh(f z+g)

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

Involving cos(b z) sinh(c z^r)

Involving cos(d z+e) sinh(c z^r)

Involving cos(a z^r) sinh(c z^r)

Involving cos(a z^r+e) sinh(c z^r)

Involving cos(b z^r+d z) sinh(c z^r)

Involving cos(b z^r+d z+e) sinh(c z^r)

Involving cos(d z) sinh(c z^r+g)

Involving cos(d z+e) sinh(c z^r+g)

Involving cos(a z^r) sinh(c z^r+g)

Involving cos(a z^r+e) sinh(c z^r+g)

Involving cos(b z^r+d z) sinh(c z^r+g)

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

Involving cos(d z) sinh(c z^r+f z)

Involving cos(d z+e) sinh(c z^r+f z)

Involving cos(b z^r) sinh(c z^r+f z)

Involving cos(b z^r+e) sinh(c z^r+f z)

Involving cos(b z^r+d z) sinh(c z^r+f z)

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

Involving cos(d z) sinh(c z^r+f z+g)

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

Involving cos(b z^r) sinh(c z^r+f z+g)

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

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

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

Involving powers of cos

Involving cos^mu(c z)sinh(a z)

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

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

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

Involving cos^m(b z^r) sinh(c z)

Involving cos^m(b z^r+e) sinh(c z)

Involving cos^m(b z^r+d z) sinh(c z)

Involving cos^m(b z^r+d z+e) sinh(c z)

Involving cos^m(b z^r) sinh(f z+g)

Involving cos^m(b z^r+e) sinh(f z+g)

Involving cos^m(b z^r+d z) sinh(f z+g)

Involving cos^m(b z^r+d z+e) sinh(f z+g)

Involving cos^m(b z) sinh(c z^r)

Involving cos^m(d z+e) sinh(c z^r)

Involving cos^m(a z^r) sinh(c z^r)

Involving cos^m(a z^r+e) sinh(c z^r)

Involving cos^m(b z^r+d z) sinh(c z^r)

Involving cos^m(b z^r+d z+e) sinh(c z^r)

Involving cos^m(d z) sinh(c z^r+g)

Involving cos^m(d z+e) sinh(c z^r+g)

Involving cos^m(a z^r) sinh(c z^r+g)

Involving cos^m(a z^r+e) sinh(c z^r+g)

Involving cos^m(b z^r+d z) sinh(c z^r+g)

Involving cos^m(b z^r+d z+e) sinh(c z^r+g)

Involving cos^m(d z) sinh(c z^r+f z+g)

Involving cos^m(d z+e) sinh(c z^r+f z)

Involving cos^m(b z^r) sinh(c z^r+f z)

Involving cos^m(b z^r+e) sinh(c z^r+f z)

Involving cos^m(b z^r+d z) sinh(c z^r+f z)

Involving cos^m(b z^r+d z+e) sinh(c z^r+f z)

Involving cos^m(d z) sinh(c z^r+f z+g)

Involving cos^m(d z+e) sinh(c z^r+f z+g)

Involving cos^m(b z^r) sinh(c z^r+f z+g)

Involving cos^m(b z^r+e) sinh(c z^r+f z+g)

Involving cos^m(b z^r+d z) sinh(c z^r+f z+g)

Involving cos^m(b z^r+d z+e) sinh(c z^r+f z+g)

Involving products of cos

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

Involving rational functions of cos

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

Involving (a+b cos(d z))^-nsinh(c z)

Involving sinh(c z)/a+b cos²(d z)

Involving (a+b cos²(d z))^-nsinh(c z)

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

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

Involving cos(e z)sinh(c z)/a+b cos²(d z)

Involving cos(e z)sinh(c z)(a+b cos²(d z))^-n

Involving algebraic functions of cos

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

Involving (a+b cos²(d z))^beta sinh(c z)

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

Involving cos(e z)sinh(c z)(a+b cos²(d z))^beta

Involving rational functions of sin and cos

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

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

Involving sinh(d z)(a sin²(e z)+b cos²(e z))^-n

Involving sinh(d z)(a+b sin²(e z)+c cos²(e z))^-n

Involving sinh(d z)(a sin²(e z)+b sin(2 e z)+c cos²(e z))^-n

Involving algebraic functions of sin and cos

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

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

Involving sinh(d z) (a sin²(e z)+b cos²(e z))^beta

Involving sinh(d z) (a+b sin²(e z)+c cos²(e z))^beta

Involving sinh(d z) (a sin²(e z)+b sin(2 e z)+c cos²(e z))^beta

Involving tan

Involving cot

Involving csc

Involving sec

Involving trigonometric and a power functions

Involving sin and power

Involving z^alpha-1sin(c z)sinh(a z)

Involving z^alpha-1sin(c z+d)sinh(a z)

Involving z^alpha-1sin(c z)sinh(a z+b)

Involving z^alpha-1sin(c z+d)sinh(a z+b)

Involving zⁿ sin(b z^r) sinh(c z)

Involving zⁿ sin(b z^r+e) sinh(c z)

Involving zⁿ sin(b z^r+d z) sinh(c z)

Involving zⁿ sin(b z^r+d z+e) sinh(c z)

Involving zⁿ sin(b z^r) sinh(f z+g)

Involving zⁿ sin(b z^r+e) sinh(f z+g)

Involving zⁿ sin(b z^r+d z) sinh(f z+g)

Involving zⁿ sin(b z^r+d z+e) sinh(f z+g)

Involving zⁿ sin(b z) sinh(c z^r)

Involving zⁿ sin(d z+e) sinh(c z^r)

Involving z^alpha-1 sin(b z^r) sinh(c z^r)

Involving z^alpha-1 sin(b z^r+e) sinh(c z^r)

Involving zⁿ sin(b z^r+d z) sinh(c z^r)

Involving zⁿ sin(b z^r+d z+e) sinh(c z^r)

Involving zⁿ sin(d z) sinh(c z^r+g)

Involving zⁿ sin(d z+e) sinh(c z^r+g)

Involving z^alpha-1 sin(b z^r) sinh(c z^r+g)

Involving z^alpha-1 sin(b z^r+e) sinh(c z^r+g)

Involving zⁿ sin(b z^r+d z) sinh(c z^r+g)

Involving zⁿ sin(b z^r+d z+e) sinh(c z^r+g)

Involving zⁿ sin(d z) sinh(c z^r+f z)

Involving zⁿ sin(d z+e) sinh(c z^r+f z)

Involving zⁿ sin(b z^r) sinh(c z^r+f z)

Involving zⁿ sin(b z^r+e) sinh(c z^r+f z)

Involving zⁿ sin(b z^r+d z) sinh(c z^r+f z)

Involving zⁿ sin(b z^r+d z+e) sinh(c z^r+f z)

Involving zⁿ sin(d z) sinh(c z^r+f z+g)

Involving zⁿ sin(d z+e) sinh(c z^r+f z+g)

Involving zⁿ sin(b z^r) sinh(c z^r+f z+g)

Involving zⁿ sin(b z^r+e) sinh(c z^r+f z+g)

Involving zⁿ sin(b z^r+d z) sinh(c z^r+f z+g)

Involving zⁿ sin(b z^r+d z+e) sinh(c z^r+f z+g)

Involving powers of sin and power

Involving z^alpha-1sin^mu(c z)sinh(a z)

Involving z^alpha-1sin^mu(c z+d)sinh(a z)

Involving z^alpha-1sin^mu(c z)sinh(a z+b)

Involving z^alpha-1sin^mu(c z+d)sinh(a z+b)

Involving zⁿ sin^m(b z^r) sinh(c z)

Involving zⁿ sin^m(b z^r+e) sinh(c z)

Involving zⁿ sin^m(b z^r+d z) sinh(c z)

Involving zⁿ sin^m(b z^r+d z+e) sinh(c z)

Involving zⁿ sin^m(b z^r) sinh(f z+g)

Involving zⁿ sin^m(b z^r+e) sinh(f z+g)

Involving zⁿ sin^m(b z^r+d z) sinh(f z+g)

Involving zⁿ sin^m(b z^r+d z+e) sinh(f z+g)

Involving zⁿ sin^m(b z) sinh(c z^r)

Involving zⁿ sin^m(d z+e) sinh(c z^r)

Involving z^alpha-1 sin^m(b z^r) sinh(c z^r)

Involving z^alpha-1 sin^m(b z^r+e) sinh(c z^r)

Involving zⁿ sin^m(b z^r+d z) sinh(c z^r)

Involving zⁿ sin^m(b z^r+d z+e) sinh(c z^r)

Involving zⁿ sin^m(d z) sinh(c z^r+g)

Involving zⁿ sin^m(d z+e) sinh(c z^r+g)

Involving z^alpha-1 sin^m(b z^r) sinh(c z^r+g)

Involving z^alpha-1 sin^m(b z^r+e) sinh(c z^r+g)

Involving zⁿ sin^m(b z^r+d z) sinh(c z^r+g)

Involving zⁿ sin^m(b z^r+d z+e) sinh(c z^r+g)

Involving zⁿ sin^m(d z) sinh(c z^r+f z)

Involving zⁿ sin^m(d z+e) sinh(c z^r+f z)

Involving zⁿ sin^m(b z^r) sinh(c z^r+f z)

Involving zⁿ sin^m(b z^r+e) sinh(c z^r+f z)

Involving zⁿ sin^m(b z^r+d z) sinh(c z^r+f z)

Involving zⁿ sin^m(b z^r+d z+e) sinh(c z^r+f z)

Involving zⁿ sin^m(d z) sinh(c z^r+f z+g)

Involving zⁿ sin^m(d z+e) sinh(c z^r+f z+g)

Involving zⁿ sin^m(b z^r) sinh(c z^r+f z+g)

Involving zⁿ sin^m(b z^r+e) sinh(c z^r+f z+g)

Involving zⁿ sin^m(b z^r+d z) sinh(c z^r+f z+g)

Involving zⁿ sin^m(b z^r+d z+e) sinh(c z^r+f z+g)

Involving cos and power

Involving z^alpha-1cos(c z)sinh(a z)

Involving z^alpha-1cos(c z+d)sinh(a z)

Involving z^alpha-1cos(c z)sinh(a z+b)

Involving z^alpha-1cos(c z+d)sinh(a z+b)

Involving zⁿ cos(b z^r) sinh(c z)

Involving zⁿ cos(b z^r+e) sinh(c z)

Involving zⁿ cos(b z^r+d z) sinh(c z)

Involving zⁿ cos(b z^r+d z+e) sinh(c z)

Involving zⁿ cos(b z^r) sinh(f z+g)

Involving zⁿ cos(b z^r+e) sinh(f z+g)

Involving zⁿ cos(b z^r+d z) sinh(f z+g)

Involving zⁿ cos(b z^r+d z+e) sinh(f z+g)

Involving zⁿ cos(b z) sinh(c z^r)

Involving zⁿ cos(d z+e) sinh(c z^r)

Involving z^alpha-1 cos(b z^r) sinh(c z^r)

Involving z^alpha-1 cos(b z^r+e) sinh(c z^r)

Involving zⁿ cos(b z^r+d z) sinh(c z^r)

Involving zⁿ cos(b z^r+d z+e) sinh(c z^r)

Involving zⁿ cos(d z) sinh(c z^r+g)

Involving zⁿ cos(d z+e) sinh(c z^r+g)

Involving z^alpha-1 cos(b z^r) sinh(c z^r+g)

Involving z^alpha-1 cos(b z^r+e) sinh(c z^r+g)

Involving zⁿ cos(b z^r+d z) sinh(c z^r+g)

Involving zⁿ cos(b z^r+d z+e) sinh(c z^r+g)

Involving zⁿ cos(d z) sinh(c z^r+f z)

Involving zⁿ cos(d z+e) sinh(c z^r+f z)

Involving zⁿ cos(b z^r) sinh(c z^r+f z)

Involving zⁿ cos(b z^r+e) sinh(c z^r+f z)

Involving zⁿ cos(b z^r+d z) sinh(c z^r+f z)

Involving zⁿ cos(b z^r+d z+e) sinh(c z^r+f z)

Involving zⁿ cos(d z) sinh(c z^r+f z+g)

Involving zⁿ cos(d z+e) sinh(c z^r+f z+g)

Involving zⁿ cos(b z^r) sinh(c z^r+f z+g)

Involving zⁿ cos(b z^r+e) sinh(c z^r+f z+g)

Involving zⁿ cos(b z^r+d z) sinh(c z^r+f z+g)

Involving zⁿ cos(b z^r+d z+e) sinh(c z^r+f z+g)

Involving powers of cos and power

Involving z^alpha-1cos^mu(c z)sinh(a z)

Involving z^alpha-1cos^mu(c z+d)sinh(a z)

Involving z^alpha-1cos^mu(c z)sinh(a z+b)

Involving z^alpha-1cos^mu(c z+d)sinh(a z+b)

Involving zⁿ cos^m(b z^r) sinh(c z)

Involving zⁿ cos^m(b z^r+e) sinh(c z)

Involving zⁿ cos^m(b z^r+d z) sinh(c z)

Involving zⁿ cos^m(b z^r+d z+e) sinh(c z)

Involving zⁿ cos^m(b z^r) sinh(f z+g)

Involving zⁿ cos^m(b z^r+e) sinh(f z+g)

Involving zⁿ cos^m(b z^r+d z) sinh(f z+g)

Involving zⁿ cos^m(b z^r+d z+e) sinh(f z+g)

Involving zⁿ cos^m(b z) sinh(c z^r)

Involving zⁿ cos^m(d z+e) sinh(c z^r)

Involving z^alpha-1 cos^m(b z^r) sinh(c z^r)

Involving z^alpha-1 cos^m(b z^r+e) sinh(c z^r)

Involving zⁿ cos^m(b z^r+d z) sinh(c z^r)

Involving zⁿ cos^m(b z^r+d z+e) sinh(c z^r)

Involving zⁿ cos^m(d z) sinh(c z^r+g)

Involving zⁿ cos^m(d z+e) sinh(c z^r+g)

Involving z^alpha-1 cos^m(b z^r) sinh(c z^r+g)

Involving z^alpha-1 cos^m(b z^r+e) sinh(c z^r+g)

Involving zⁿ cos^m(b z^r+d z) sinh(c z^r+g)

Involving zⁿ cos^m(b z^r+d z+e) sinh(c z^r+g)

Involving zⁿ cos^m(d z) sinh(c z^r+f z)

Involving zⁿ cos^m(d z+e) sinh(c z^r+f z)

Involving zⁿ cos^m(b z^r) sinh(c z^r+f z)

Involving zⁿ cos^m(b z^r+e) sinh(c z^r+f z)

Involving zⁿ cos^m(b z^r+d z) sinh(c z^r+f z)

Involving zⁿ cos^m(b z^r+d z+e) sinh(c z^r+f z)

Involving zⁿ cos^m(d z) sinh(c z^r+f z+g)

Involving zⁿ cos^m(d z+e) sinh(c z^r+f z+g)

Involving zⁿ cos^m(b z^r) sinh(c z^r+f z+g)

Involving zⁿ cos^m(b z^r+e) sinh(c z^r+f z+g)

Involving zⁿ cos^m(b z^r+d z) sinh(c z^r+f z+g)

Involving zⁿ cos^m(b z^r+d z+e) sinh(c z^r+f z+g)

Involving trigonometric and exponential functions

Involving sin and exp

Involving e^{b z}sin(c z) sinh(a z)

Involving e^{p z}sin(c z+d) sinh(a z)

Involving e^{p z}sin(c z) sinh(a z+b)

Involving e^{p z}sin(c z+d) sinh(a z+b)

Involving e^{p z^r} sin(b z^r)sinh(c z)

Involving e^{p z^r} sin(b z)sinh(c z)

Involving e^{p z} sin(b z^r)sinh(c z)

Involving e^{p z} sin(b z)sinh(c z^r)

Involving e^{p z^r} sin(b z)sinh(c z^r)

Involving e^{p z} sin(b z^r)sinh(c z^r)

Involving e^{p z^r} sin(b z^r)sinh(c z^r)

Involving e^{b z^r+e} sin(a z^r+q) sinh(c z^r+g)

Involving e^{b z^r+d z+e} sin(a z^r+p z+q) sinh(c z^r+f z+g)

Involving sin and rational functions of exp

Involving sin(e z)sin(c z)(a+b e^{d z})^-n

Involving e^{p z}sin(e z)sinh(c z)(a+b e^{d z})^-n

Involving sin and algebraic functions of exp

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

Involving e^{p z}(a+b e^{d z})^beta sin(e z)sinh(c z)

Involving powers of sin and exp

Involving e^{b z}sin^mu(c z) sinh(a z)

Involving e^{p z}sin^mu(c z+d) sinh(a z)

Involving e^{p z}sin^mu(c z) sinh(a z+b)

Involving e^{p z}sin^mu(c z+d) sinh(a z+b)

Involving e^{p z^r} sin^m(b z^r)sinh(c z)

Involving e^{p z^r} sin^m(b z)sinh(c z)

Involving e^{p z} sin^m(b z^r)sinh(c z)

Involving e^{p z} sin^m(b z)sinh(c z^r)

Involving e^{p z^r} sin^m(b z)sinh(c z^r)

Involving e^{p z} sin^m(b z^r)sinh(c z^r)

Involving e^{p z^r} sin^m(b z^r)sinh(c z^r)

Involving e^{b z^r+e} sin^m(a z^r+q) sinh(c z^r+g)

Involving e^{b z^r+d z+e} sin^m(a z^r+p z+q) sinh(c z^r+f z+g)

Involving powers of sin and rational functions of exp

Involving sin^m(e z)sinh(c z)(a+b e^{d z})^-n

Involving e^{p z}sin^m(e z)sinh(c z)(a+b e^{d z})^-n

Involving powers of sin and algebraic functions of exp

Involving (a+b e^{d z})^beta sin^m(e z)sinh(c z)

Involving e^{p z}(a+b e^{d z})^beta sin^m(e z)sinh(c z)

Involving products of sin and exp

Involving e^{p z} sin(a z) sin(b z) sinh(c z)

Involving rational functions of sin and exp

Involving e^{p z} sinh(d z)/a+b sinh(c z)

Involving e^{p z}(a+b sin(d z))^-nsinh(c z)

Involving e^{p z}sinh(c z)/a+b sin²(d z)

Involving e^{p z}(a+b sin²(d z))^-nsinh(c z)

Involving e^{p z}sin(e z)sinh(c z)(a+b sin(d z))^-n

Involving e^{p z}sin(e z)sinh(c z)/a+b sin²(d z)

Involving e^{p z}sin(e z)sinh(c z)(a+b sin²(d z))^-n

Involving algebraic functions of sin and exp

Involving e^{p z}(a+b sin(d z))^beta sinh(c z)

Involving e^{p z}(a+b sin²(d z))^beta sinh(c z)

Involving e^{p z}sin(e z)sinh(c z)(a+b sin(d z))^beta

Involving e^{p z}sin(e z)sinh(c z)(a+b sin²(d z))^beta

Involving cos and exp

Involving e^{p z}cos(c z) sinh(a z)

Involving e^{p z}cos(c z+d) sinh(a z)

Involving e^{p z}cos(c z) sinh(a z+b)

Involving e^{p z}cos(c z+d) sinh(a z+b)

Involving e^{p z^r} cos(b z^r)sinh(c z)

Involving e^{p z^r} cos(b z)sinh(c z)

Involving e^{p z} cos(b z^r)sinh(c z)

Involving e^{p z} cos(b z)sinh(c z^r)

Involving e^{p z^r} cos(b z)sinh(c z^r)

Involving e^{p z} cos(b z^r)sinh(c z^r)

Involving e^{p z^r} cos(b z^r)sinh(c z^r)

Involving e^{b z^r+e} cos(a z^r+q) sinh(c z^r+g)

Involving e^{b z^r+d z+e} cos(a z^r+p z+q) sinh(c z^r+f z+g)

Involving cos and rational functions of exp

Involving cos(e z)sinh(c z)(a+b e^{d z})^-n

Involving e^{p z}cos(e z)sinh(c z)(a+b e^{d z})^-n

Involving cos and algebraic functions of exp

Involving (a+b e^{d z})^beta cos(e z)sinh(c z)

Involving e^{p z}(a+b e^{d z})^beta cos(e z)sinh(c z)

Involving powers of cos and exp

Involving e^{b z}cos^mu(c z) sinh(a z)

Involving e^{p z}cos^mu(c z+d) sinh(a z)

Involving e^{p z}cos^mu(c z) sinh(a z+b)

Involving e^{p z}cos^mu(c z+d) sinh(a z+b)

Involving e^{p z^r} cos^m(b z^r)sinh(c z)

Involving e^{p z^r} cos^m(b z)sinh(c z)

Involving e^{p z} cos^m(b z^r)sinh(c z)

Involving e^{p z} cos^m(b z)sinh(c z^r)

Involving e^{p z^r} cos^m(b z)sinh(c z^r)

Involving e^{p z} cos^m(b z^r)sinh(c z^r)

Involving e^{p z^r} cos^m(b z^r)sinh(c z^r)

Involving e^{b z^r+e} cos^m(a z^r+q) sinh(c z^r+g)

Involving e^{b z^r+d z+e} cos^m(a z^r+p z+q) sinh(c z^r+f z+g)

Involving powers of cos and rational functions of exp

Involving cos^m(e z)sinh(c z)(a+b e^{d z})^-n

Involving e^{p z}cos^m(e z)sinh(c z)(a+b e^{d z})^-n

Involving powers of cos and algebraic functions of exp

Involving (a+b e^{d z})^beta cos^m(e z)sinh(c z)

Involving e^{p z}(a+b e^{d z})^beta cos^m(e z)sinh(c z)

Involving products of cos and exp

Involving e^{p z} cos(a z) cos(b z) sinh(c z)

Involving rational functions of cos and exp

Involving e^{p z}sinh(c z)/a+b cos(d z)

Involving e^{p z}(a+b cos(d z))^-nsinh(c z)

Involving e^{p z}sinh(c z)/a+b cos²(d z)

Involving e^{p z}(a+b cos²(d z))^-nsinh(c z)

Involving e^{p z}cos(e z)sinh(c z)/a+b cos(d z)

Involving e^{p z}cos(e z)sinh(c z)(a+b cos(d z))^-n

Involving e^{p z}cos(e z)sinh(c z)/a+b cos²(d z)

Involving e^{p z}cos(e z)sinh(c z)(a+b cos²(d z))^-n

Involving algebraic functions of cos and exp

Involving e^{p z}(a+b cos(d z))^beta sinh(c z)

Involving e^{p z}(a+b cos²(d z))^beta sinh(c z)

Involving e^{p z}cos(e z)sinh(c z)(a+b cos(d z))^beta

Involving e^{p z}cos(e z)sinh(c z)(a+b cos²(d z))^beta

Involving rational functions of sin, cos and exp

Involving e^{p z}sinh(d z)(a sin(e z)+b cos(e z))^-n

Involving e^{p z}sinh(d z)(a+b sin(e z)+c cos(e z))^-n

Involving e^{p z}sinh(d z)(a sin²(e z)+b cos²(e z))^-n

Involving e^{p z}sinh(d z)(a+b sin²(e z)+c cos²(e z))^-n

Involving e^{p z}sinh(d z)(a sin²(e z)+b sin(2 e z)+c cos²(e z))^-n

Involving algebraic functions of sin, cos and exp

Involving e^{p z}sinh(d z)(a sin(e z)+b cos(e z))^beta

Involving e^{p z} sinh(d z) (a+b sin(e z)+c cos(e z))^beta

Involving e^{p z} sinh(d z) (a sin²(e z)+b cos²(e z))^beta

Involving e^{p z} sinh(d z) (a+b sin²(e z)+c cos²(e z))^beta

Involving e^{p z} sinh(d z) (a sin²(e z)+b sin(2 e z)+c cos²(e z))^beta

Involving tan and exp

Involving cot and exp

Involving csc and exp

Involving sec and exp

Involving trigonometric, exponential and a power functions

Involving sin, exp and power

Involving z^alpha-1e^{b z}sin(c z)sinh(a z)

Involving z^alpha-1e^{p z}sin(c z+d)sinh(a z)

Involving z^alpha-1e^{p z}sin(c z)sinh(a z+b)

Involving z^alpha-1e^{p z}sin(c z+d)sinh(a z+b)

Involving zⁿe^{p z^r}sin(b z^r)sinh(c z)

Involving zⁿe^{p z^r}sin(b z)sinh(c z)

Involving zⁿe^{p z}sin(b z^r)sinh(c z)

Involving zⁿe^{p z} sin(b z)sinh(c z^r)

Involving zⁿe^{p z^r} sin(b z)sinh(c z^r)

Involving zⁿe^{p z} sin(b z^r)sinh(c z^r)

Involving z^alpha-1e^{p z^r} sin(b z^r)sinh(c z^r)

Involving z^alpha-1 e^{b z^r+e} sin(a z^r+q) sinh(c z^r+g)

Involving zⁿ e^{b z^r+d z+e} sin(a z^r+p z+q) sinh(c z^r+f z+g)

Involving powers of sin, exp and power

Involving z^alpha-1e^{p z}sin^mu(c z)sinh(a z)

Involving z^alpha-1e^{p z}sin^mu(c z+d)sinh(a z)

Involving z^alpha-1e^{p z}sin^mu(c z)sinh(a z+b)

Involving z^alpha-1e^{p z}sin^mu(c z+d)sinh(a z+b)

Involving zⁿe^{p z^r}sin^m(b z^r)sinh(c z)

Involving zⁿe^{p z^r}sin^m(b z)sinh(c z)

Involving zⁿe^{p z}sin^m(b z^r)sinh(c z)

Involving zⁿe^{p z} sin^m(b z)sinh(c z^r)

Involving zⁿe^{p z^r} sin^m(b z)sinh(c z^r)

Involving zⁿe^{p z} sin^m(b z^r)sinh(c z^r)

Involving z^alpha-1e^{p z^r} sin^m(b z^r)sinh(c z^r)

Involving z^alpha-1 e^{b z^r+e} sin^m(a z^r+q) sinh(c z^r+g)

Involving zⁿ e^{b z²+d z+e} sin^m(a z²+p z+q) sinh(c z²+f z+g)

Involving cos, exp and power

Involving z^alpha-1e^{b z}cos(c z)sinh(a z)

Involving z^alpha-1e^{p z}cos(c z+d)sinh(a z)

Involving z^alpha-1e^{p z}cos(c z+d)sinh(a z+b)

Involving zⁿe^{p z^r}cos(b z^r)sinh(c z)

Involving zⁿe^{p z^r}cos(b z)sinh(c z)

Involving zⁿe^{p z}cos(b z^r)sinh(c z)

Involving zⁿe^{p z} cos(b z)sinh(c z^r)

Involving zⁿe^{p z^r} cos(b z)sinh(c z^r)

Involving zⁿe^{p z} cos(b z^r)sinh(c z^r)

Involving z^alpha-1e^{p z^r} cos(b z^r)sinh(c z^r)

Involving z^alpha-1 e^{b z^r+e} cos(a z^r+q) sinh(c z^r+g)

Involving zⁿ e^{b z^r+d z+e} cos(a z^r+p z+q) sinh(c z^r+f z+g)

Involving powers of cos, exp and power

Involving z^alpha-1e^{p z}cos^mu(c z)sinh(a z)

Involving z^alpha-1e^{p z}cos^mu(c z+d)sinh(a z)

Involving z^alpha-1e^{p z}cos^mu(c z)sinh(a z+b)

Involving z^alpha-1e^{p z}cos^mu(c z+d)sinh(a z+b)

Involving zⁿe^{p z^r}cos^m(b z^r)sinh(c z)

Involving zⁿe^{p z^r}cos^m(b z)sinh(c z)

Involving zⁿe^{p z}cos^m(b z^r)sinh(c z)

Involving zⁿe^{p z} cos^m(b z)sinh(c z^r)

Involving zⁿe^{p z^r} cos^m(b z)sinh(c z^r)

Involving zⁿe^{p z} cos^m(b z^r)sinh(c z^r)

Involving z^alpha-1e^{p z^r} cos^m(b z^r)sinh(c z^r)

Involving z^alpha-1 e^{b z^r+e} cos^m(a z^r+q) sinh(c z^r+g)

Involving zⁿ e^{b z^r+d z+e} cos^m(a z^r+p z+q) sinh(c z^r+f z+g)