Global Journal of Researches in Engineering, I: Numerical Methods, Volume 23 Issue 1

The graph of the cos(x) function on the section from x = 4 to x = 6 and the initial data are shown below in Figure 8. _cos x( ) a 0 a 1 x ⋅ + a 2 x 2 ⋅ + a 3 x 3 ⋅ + a 4 x 4 ⋅ + a 5 x 5 ⋅ + := (22) _cos (5) = 2,836622·10 -1 cos (5) = 2,836622·10 -1 a A1 1 − B1 ⋅ := B1 cos µ 0.00 π 2 ⋅ +     cos µ 0.25 π 2 ⋅ +     cos µ 0.50 π 2 ⋅ +     cos µ 0.75 π 2 ⋅ +     cos µ 1.00 π 2 ⋅ +     cos µ 1.25 π 2 ⋅ +                                     := The set point - μ k_1 1 1 10 6 − ⋅ + := SL x k , n , ( ) x n k − Γ n 1 + ( ) ⋅ Γ n k − 1 + ( ) := µ 5 := A1 1 µ 0.25 − Γ 1( ) ⋅ Γ 1 0.25 − ( ) µ 0.5 − Γ 1( ) ⋅ Γ 1 0.5 − ( ) µ 0.75 − Γ 1( ) ⋅ Γ 1 0.75 − ( ) µ k_1 − Γ 1( ) ⋅ Γ 1 k_1 − ( ) µ 1.25 − Γ 1( ) ⋅ Γ 1 1.25 − ( ) µ µ 1 0.25 − Γ 2 0.25 − ( ) µ 1 0.5 − Γ 2 0.5 − ( ) µ 1 0.75 − Γ 2 0.75 − ( ) µ 1 1 − Γ 2 1 − ( ) µ 1 1.25 − Γ 2 1.25 − ( ) µ 2 2 µ 2 0.25 − ⋅ Γ 3 0.25 − ( ) 2 µ 2 0.5 − ⋅ Γ 3 0.5 − ( ) 2 µ 2 0.75 − ⋅ Γ 3 0.75 − ( ) 2 µ 2 1 − ⋅ Γ 3 1 − ( ) 2 µ 2 1.25 − ⋅ Γ 3 1.25 − ( ) µ 3 6 µ 3 0.25 − ⋅ Γ 4 0.25 − ( ) 6 µ 3 0.5 − ⋅ Γ 4 0.5 − ( ) 6 µ 3 0.75 − ⋅ Γ 4 0.75 − ( ) 6 µ 3 1 − ⋅ Γ 4 1 − ( ) 6 µ 3 1.25 − ⋅ Γ 4 1.25 − ( ) µ 4 24 µ 4 0.25 − ⋅ Γ 5 0.25 − ( ) 24 µ 4 0.5 − ⋅ Γ 5 0.5 − ( ) 24 µ 4 0.75 − ⋅ Γ 5 0.75 − ( ) 24 µ 4 1 − ⋅ Γ 5 1 − ( ) 24 µ 4 1.25 − ⋅ Γ 5 1.25 − ( ) µ 5 120 µ 5 0.25 − ⋅ Γ 6 0.25 − ( ) 120 µ 5 0.5 − ⋅ Γ 6 0.5 − ( ) 120 µ 5 0.75 − ⋅ Γ 6 0.75 − ( ) 120 µ 5 1 − ⋅ Γ 6 1 − ( ) 120 µ 5 1.25 − ⋅ Γ 6 1.25 − ( )                                 := Global Journal of Researches in Engineering Volume XxXIII Issue I Version I 18 Year 2023 © 2023 Global Journals ( ) I Application of Differentialintegral Functions