Solution of an indefinite integral of the form ∫cos(lnαx)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=3 is considered.

∫cos(lnαx)dx, ∫cos(lnx)dx, ∫cos(ln2x)dx, ∫cos(ln3x)dx

The solution is in PDF format