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

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

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

The solution is in PDF format