Involving functions of the direct function and trigonometric functions

Involving powers of the direct function and trigonometric functions

Involving sin

Involving sin(c z)sin^nu(a z)

Involving sin(c z+d)cos^nu(a z)

Involving sin(c z)cos^nu(a z+b)

Involving sin(c z+d)cos^nu(a z+b)

Involving sin(b z^r)cos^v(c z)

Involving sin(b z^r+e)cos^v(c z)

Involving sin(b z^r+d z)cos^v(c z)

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

Involving sin(b z^r) cos^v(f z+g)

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

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

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

Involving sin(b z)cos^v(c z^r)

Involving sin(d z+e) cos^v(c z^r)

Involving sin(b z^r) cos^v(c z^r)

Involving sin(b z^r+e) cos^v(c z^r)

Involving sin(b z^r+d z) cos^v(c z^r)

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

Involving sin(d z) cos^v(c z^r+g)

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

Involving sin(b z^r) cos^v(c z^r+g)

Involving sin(b z^r+e) cos^v(c z^r+g)

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

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

Involving sin(d z) cos^v(c z^r+f z)

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

Involving sin(b z^r) cos^v(c z^r+f z)

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

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

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

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

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

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

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

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

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

Involving powers of sin

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

Involving sin^mu(c z+d)cos^v(a z)

Involving sin^mu(c z)cos^v(a z+b)

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

Involving sin^m(b z^r)cos^v(c z)

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

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

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

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

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

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

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

Involving sin(b z)^mcos^v(c z^r)

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

Involving sin^m(b z^r)cos^v(c z^r)

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

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

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

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

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

Involving sin^m(b z^r) cos^v(c z^r+g)

Involving sin^m(b z^r+e) cos^v(c z^r+g)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Involving sin and rational functions of cos

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

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

Involving sin(d z)/a+b cos²(c z)

Involving sin(d z)(a+b cos²(c z))^-n

Involving rational functions of sin

Involving 1/a+b sin(c z)

Involving algebraic functions of sin

Involving products of the direct function and trigonometric functions

Involving sin

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

Involving rational functions of sin

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

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

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

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

Involving algebraic functions of sin

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

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

Involving cos(d z)cos(e z)((a+b sin²(c z))ⁿ)^beta TO ADD

Involving rational functions of the direct function and trigonometric functions

Involving sin

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

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

Involving sin(d z)/a+b cos²(c z)

Involving sin(d z)(a+b cos²(c z))^-n

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

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

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

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

Involving rational functions of sin

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Involving 1/f(z)+b cos²(z)

Involving algebraic functions of the direct function and trigonometric functions

Involving sin

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

Involving sinⁿ(c z)(a+b cos(2c z))^beta

Involving sin^m(c z)cos^m(c z)(a+b cos(2c z))^beta

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

Involving f(z)(a+b cos(c z))^beta

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

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

Involving f(z)(a+b cosⁿ(c z))^beta

Involving rational functions of sin

Involving f(z)(a+b cos(c z))^beta

Involving algebraic functions of sin

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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