Решенный интеграл вида ∫lnαx/√xdx

Solving an indefinite integral of the form ∫xctg^2(αx)dx by integration by parts, where α takes the values 1,2,3,4...n
An example of solving integrals for α=1,2,5
∫lnαx/√xdx, ∫lnx/√xdx, ∫ln2x/√xdx, ∫ln5x/√xdx

The solution is in PDF format