Solved integral of the form ∫ln(αx+β)dx

Solving an indefinite integral of the form ∫ln(αx+β)dx by the method of integration by parts, where α takes the values ±1,±2,±3,±4...n, β takes the values ±1,±2,±3,± 4...m
An example of solving integrals for α=1, β=3 is considered; α=−2, β=−4; α=3, β=−5
∫ln(αx+β)dx, ∫ln(x+3)dx, ∫ln(−2x−4)dx, ∫ln(3x−5)dx

The solution is in PDF format