Решенный интеграл вида ∫ln(cosαx)/sin^2(αx)dx

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

∫ln(cosαx)/sin^2(αx)dx, ∫ln(cosx)/sin^2(x)dx, ∫ln(cos2x)/sin^2(2x)dx, ∫ln(cos4x)/sin^ 2(4x)dx

The solution is in PDF format