Solved integral of the form ∫x^2cos(αx+β)dx

Solved integral of the form ∫x^2cos(αx+β)dx

Solving an indefinite integral of the form ∫x^2cos(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=2 is considered; α=2, β=−1; α=3, β=−4; α=4, β=3
∫x^2cos(αx+β)dx, ∫x^2cos(x+2)dx, ∫x^2cos(2x−1)dx, ∫x^2cos(3x−4)dx, ∫x^2cos(4x +3)dx

The solution is in PDF format