Solved integral of the form ∫x^3ln^2(αx)dx

Solved integral of the form ∫x^3ln^2(αx)dx

Solving an indefinite integral of the form ∫x^3ln^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=1,2,5
∫x^3ln^2(αx)dx, ∫x^3ln^2(x)dx, ∫x^3ln^2(2x)dx, ∫x^3ln^2(5x)dx

The solution is in PDF format