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

∫ln(α−x)/(α+x)dx, ∫ln(1−x)/(1+x)dx, ∫ln(2−x)/(2+x)dx, ∫ln(3− x)/(3+x)dx

The solution is in PDF format