Solution of an indefinite integral of the form ∫x^2sin(αx+β)dx by the method of integration by parts, where α takes the values 1,2,3,4,5,…n; β takes the values ±1,±2,±3,±4,±5,…m.
An example of solving integrals for α=1, β=3 is considered; α=2, β=−3; α=3, β=−4; α=5, β=2
∫x^2sin(αx+β)dx, ∫x^2sin(x+3)dx, ∫x^2sin(2x−3)dx, ∫x^2sin(3x−4)dx, ∫x^2sin(5x +2)dx

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