integral dari x³√(x-4) dx adalah....

jawab

∫ x³ √(x -4)  dx

parsial  dengan tabel
def ....integral
x³ ......(x - 4)^(1/2)
3x² .....2/3 (x - 4)^(3/2)
6x .......2/3. 2/5, (x - 4)^(5/2)-
6.........2/3.2/5.2/7. (x - 4)^(7/2)
0 ........2/3. 2/5.2/7.2/9. (x - 4)^(9/2)-
.
= 2/3 x³ (x - 4)^(3/2) - 4/3  x²(x - 4)^(5/2) +  16/35 x (x - 4)^(7/2) - 32/315 (x-4)^(9/2)+c