Решенный интеграл вида ∫sin(lnαx)dx

Solving an indefinite integral of the form ∫sin(lnαx)dx using the integration by parts method, where α takes the values 1,2,3,4,5,…n.
An example of solving integrals for α=1, α=2, α=3 is considered.

∫sin(lnαx)dx, ∫sin(lnx)dx, ∫sin(ln2x)dx, ∫sin(ln3x)dx

The solution is in PDF format