Solved integral of the form ∫ln(sinαx)/sin^2(αx)dx

Solved integral of the form ∫ln(sinαx)/sin^2(αx)dx

Solution of the indefinite integral of the form ∫ln(sinαx)/sin^2(αx)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.

∫ln(sinαx)/sin^2(αx)dx, ∫ln(sinx)/sin^2(x)dx, ∫ln(sin2x)/sin^2(2x)dx, ∫ln(sin3x)/sin^ 2(3x)dx

The solution is in PDF format

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