Solved integral of the form ∫xtg^2αxdx

Solved integral of the form ∫xtg^2αxdx

Solving an indefinite integral of the form ∫xtg^2(αx)dx by integration by parts, where α takes the values 1,2,3,4...n
An example of solving integrals for α=2,5,6
∫xtg^2(αx)dx, ∫xtg^2(2x)dx, ∫xtg^2(5x)dx, ∫xtg^2(6x)dx

The solution is in PDF format

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