Solution of an indefinite integral of the form ∫xln(α−x)/(α+x)dx by the method of 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=4 is considered.

∫xln(α−x)/(α+x)dx, ∫xln(1−x)/(1+x)dx, ∫xln(2−x)/(2+x)dx, ∫xln(4− x)/(4+x)dx

The solution is in PDF format