Решенный интеграл вида ∫xln^2(αx)dx

Solving an indefinite integral of the form ∫xln^2(αx)dx by integration by parts, where α takes the values 1,2,3,4,5...n
An example of solving integrals for α=1,2,3
∫xln^2(αx)dx, ∫xln^2(x)dx, ∫xln^2(2x)dx, ∫xln^2(3x)dx

The solution is in PDF format